101122000100 has 108 divisors (see below), whose sum is σ = 250245285360. Its totient is φ = 35172667200.

The previous prime is 101122000097. The next prime is 101122000139. The reversal of 101122000100 is 1000221101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 495011 + ... + 668789.

Almost surely, 2^101122000100 is an apocalyptic number.

101122000100 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 101122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125122642680).

101122000100 is an abundant number, since it is smaller than the sum of its proper divisors (149123285260).

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

101122000100 is a wasteful number, since it uses less digits than its factorization.

101122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173850 (or 173820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101122000100 its reverse (1000221101), we get a palindrome (102122221201).

The spelling of 101122000100 in words is "one hundred one billion, one hundred twenty-two million, one hundred", and thus it is an aban number.