100011020211120 has 80 divisors (see below), whose sum is σ = 310111616086272. Its totient is φ = 26662942728960.

The previous prime is 100011020211119. The next prime is 100011020211127. The reversal of 100011020211120 is 21112020110001.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 100011020211096 and 100011020211105.

It is not an unprimeable number, because it can be changed into a prime (100011020211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51089316 + ... + 53010755.

Almost surely, 2^{100011020211120} is an apocalyptic number.

100011020211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011020211120 is an abundant number, since it is smaller than the sum of its proper divisors (210100595875152).

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

100011020211120 is a wasteful number, since it uses less digits than its factorization.

100011020211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104104090 (or 104104084 counting only the distinct ones).

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

Adding to 100011020211120 its reverse (21112020110001), we get a palindrome (121123040321121).

The spelling of 100011020211120 in words is "one hundred trillion, eleven billion, twenty million, two hundred eleven thousand, one hundred twenty".