100001020001120 has 144 divisors (see below), whose sum is σ = 281527262700768. Its totient is φ = 33449818429440.

The previous prime is 100001020001101. The next prime is 100001020001147. The reversal of 100001020001120 is 21100020100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100001020001098 and 100001020001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155230172 + ... + 155873051.

It is an arithmetic number, because the mean of its divisors is an integer number (1955050435422).

Almost surely, 2^{100001020001120} is an apocalyptic number.

100001020001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001020001120 is an abundant number, since it is smaller than the sum of its proper divisors (181526242699648).

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

100001020001120 is a wasteful number, since it uses less digits than its factorization.

100001020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311103293 (or 311103278 counting only the distinct ones).

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

Adding to 100001020001120 its reverse (21100020100001), we get a palindrome (121101040101121).

The spelling of 100001020001120 in words is "one hundred trillion, one billion, twenty million, one thousand, one hundred twenty".