100021110001120 has 576 divisors, whose sum is σ = 308318817042432. Its totient is φ = 30302512128000.

The previous prime is 100021110001097. The next prime is 100021110001177. The reversal of 100021110001120 is 21100011120001.

It is a super-2 number, since 2×100021110001120² (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 junction number, because it is equal to n+sod(n) for n = 100021110001097 and 100021110001106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 958160449 + ... + 958264831.

It is an arithmetic number, because the mean of its divisors is an integer number (535275724032).

Almost surely, 2^{100021110001120} is an apocalyptic number.

100021110001120 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 100021110001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154159408521216).

100021110001120 is an abundant number, since it is smaller than the sum of its proper divisors (208297707041312).

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

100021110001120 is a wasteful number, since it uses less digits than its factorization.

100021110001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104735 (or 104720 counting only the distinct ones).

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

Adding to 100021110001120 its reverse (21100011120001), we get a palindrome (121121121121121).

The spelling of 100021110001120 in words is "one hundred trillion, twenty-one billion, one hundred ten million, one thousand, one hundred twenty".