100012021211120 has 20 divisors (see below), whose sum is σ = 232527949316040. Its totient is φ = 40004808484416.

The previous prime is 100012021211119. The next prime is 100012021211129. The reversal of 100012021211120 is 21112120210001.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×100012021211120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100012021211095 and 100012021211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012021211129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625075132490 + ... + 625075132649.

It is an arithmetic number, because the mean of its divisors is an integer number (11626397465802).

Almost surely, 2^{100012021211120} is an apocalyptic number.

100012021211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012021211120 is an abundant number, since it is smaller than the sum of its proper divisors (132515928104920).

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

100012021211120 is a wasteful number, since it uses less digits than its factorization.

100012021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250150265152 (or 1250150265146 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100012021211120 its reverse (21112120210001), we get a palindrome (121124141421121).

The spelling of 100012021211120 in words is "one hundred trillion, twelve billion, twenty-one million, two hundred eleven thousand, one hundred twenty".