100102012001220 has 96 divisors (see below), whose sum is σ = 283054475975040. Its totient is φ = 26430512440320.

The previous prime is 100102012001183. The next prime is 100102012001267. The reversal of 100102012001220 is 22100210201001.

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 = 100102012001196 and 100102012001205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4031235 + ... + 14712405.

It is an arithmetic number, because the mean of its divisors is an integer number (2948484124740).

Almost surely, 2^{100102012001220} is an apocalyptic number.

100102012001220 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 100102012001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141527237987520).

100102012001220 is an abundant number, since it is smaller than the sum of its proper divisors (182952463973820).

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

100102012001220 is a wasteful number, since it uses less digits than its factorization.

100102012001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682725 (or 10682723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102012001220 its reverse (22100210201001), we get a palindrome (122202222202221).

The spelling of 100102012001220 in words is "one hundred trillion, one hundred two billion, twelve million, one thousand, two hundred twenty".