100121022011010 has 384 divisors, whose sum is σ = 336398466071808. Its totient is φ = 18735639552000.

The previous prime is 100121022010973. The next prime is 100121022011039. The reversal of 100121022011010 is 10110220121001.

It is a super-2 number, since 2×100121022011010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2810190 + ... + 14427030.

It is an arithmetic number, because the mean of its divisors is an integer number (876037672062).

Almost surely, 2^{100121022011010} is an apocalyptic number.

100121022011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121022011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168199233035904).

100121022011010 is an abundant number, since it is smaller than the sum of its proper divisors (236277444060798).

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

100121022011010 is a wasteful number, since it uses less digits than its factorization.

100121022011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616930 (or 11616923 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121022011010 its reverse (10110220121001), we get a palindrome (110231242132011).

The spelling of 100121022011010 in words is "one hundred trillion, one hundred twenty-one billion, twenty-two million, eleven thousand, ten".