100100211012020 has 192 divisors, whose sum is σ = 217542519936000. Its totient is φ = 38670526642176.

The previous prime is 100100211011981. The next prime is 100100211012023. The reversal of 100100211012020 is 20210112001001.

It is a junction number, because it is equal to n+sod(n) for n = 100100211011992 and 100100211012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100211012023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14160445046 + ... + 14160452114.

It is an arithmetic number, because the mean of its divisors is an integer number (1133033958000).

Almost surely, 2^{100100211012020} is an apocalyptic number.

100100211012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100211012020 is an abundant number, since it is smaller than the sum of its proper divisors (117442308923980).

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

100100211012020 is a wasteful number, since it uses less digits than its factorization.

100100211012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100100211012020 its reverse (20210112001001), we get a palindrome (120310323013021).

The spelling of 100100211012020 in words is "one hundred trillion, one hundred billion, two hundred eleven million, twelve thousand, twenty".