100212002000110 has 256 divisors, whose sum is σ = 250061790117888. Its totient is φ = 27895623436800.

The previous prime is 100212002000069. The next prime is 100212002000177. The reversal of 100212002000110 is 11000200212001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1410944059 + ... + 1411015081.

It is an arithmetic number, because the mean of its divisors is an integer number (976803867648).

Almost surely, 2^{100212002000110} is an apocalyptic number.

100212002000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212002000110 is an abundant number, since it is smaller than the sum of its proper divisors (149849788117778).

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

100212002000110 is a wasteful number, since it uses less digits than its factorization.

100212002000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75639.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100212002000110 its reverse (11000200212001), we get a palindrome (111212202212111).

The spelling of 100212002000110 in words is "one hundred trillion, two hundred twelve billion, two million, one hundred ten", and thus it is an aban number.