100211111000000 has 2352 divisors, whose sum is σ = 354706459699200. Its totient is φ = 27257472000000.

The previous prime is 100211110999963. The next prime is 100211111000009. The reversal of 100211111000000 is 111112001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211111000009) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 209208999761 + ... + 209209000239.

It is an arithmetic number, because the mean of its divisors is an integer number (150810569600).

Almost surely, 2^{100211111000000} is an apocalyptic number.

100211111000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177353229849600).

100211111000000 is an abundant number, since it is smaller than the sum of its proper divisors (254495348699200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100211111000000 is an equidigital number, since it uses as much as digits as its factorization.

100211111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100211111000000 its reverse (111112001), we get a palindrome (100211222112001).

The spelling of 100211111000000 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million", and thus it is an aban number.