100012111011020 has 96 divisors (see below), whose sum is σ = 227751045527040. Its totient is φ = 36672063068160.

The previous prime is 100012111010993. The next prime is 100012111011023. The reversal of 100012111011020 is 20110111210001.

It is a super-2 number, since 2×100012111011020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100012111010992 and 100012111011010.

It is not an unprimeable number, because it can be changed into a prime (100012111011023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21605090 + ... + 25822550.

It is an arithmetic number, because the mean of its divisors is an integer number (2372406724240).

Almost surely, 2^{100012111011020} is an apocalyptic number.

100012111011020 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 100012111011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113875522763520).

100012111011020 is an abundant number, since it is smaller than the sum of its proper divisors (127738934516020).

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

100012111011020 is a wasteful number, since it uses less digits than its factorization.

100012111011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218115 (or 4218113 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100012111011020 its reverse (20110111210001), we get a palindrome (120122222221021).

The spelling of 100012111011020 in words is "one hundred trillion, twelve billion, one hundred eleven million, eleven thousand, twenty".