100011122100120 has 512 divisors, whose sum is σ = 405282542100480. Its totient is φ = 19104224993280.

The previous prime is 100011122100107. The next prime is 100011122100157. The reversal of 100011122100120 is 21001221110001.

It is a super-2 number, since 2×100011122100120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100011122100096 and 100011122100105.

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, 648922 + ... + 14157801.

It is an arithmetic number, because the mean of its divisors is an integer number (791567465040).

Almost surely, 2^{100011122100120} is an apocalyptic number.

100011122100120 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 100011122100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202641271050240).

100011122100120 is an abundant number, since it is smaller than the sum of its proper divisors (305271420000360).

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

100011122100120 is a wasteful number, since it uses less digits than its factorization.

100011122100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14806815 (or 14806811 counting only the distinct ones).

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

Adding to 100011122100120 its reverse (21001221110001), we get a palindrome (121012343210121).

The spelling of 100011122100120 in words is "one hundred trillion, eleven billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".