101122011010000 has 200 divisors, whose sum is σ = 249014140467840. Its totient is φ = 39757156992000.

The previous prime is 101122011009913. The next prime is 101122011010001. The reversal of 101122011010000 is 10110221101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×101122011010000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122011010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7674123412 + ... + 7674136588.

Almost surely, 2^{101122011010000} is an apocalyptic number.

101122011010000 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 101122011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124507070233920).

101122011010000 is an abundant number, since it is smaller than the sum of its proper divisors (147892129457840).

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

101122011010000 is a wasteful number, since it uses less digits than its factorization.

101122011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26271 (or 26250 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101122011010000 its reverse (10110221101), we get a palindrome (101132121231101).

The spelling of 101122011010000 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, ten thousand".