100141430312220 has 192 divisors, whose sum is σ = 322702978752000. Its totient is φ = 22947764797440.

The previous prime is 100141430312167. The next prime is 100141430312257. The reversal of 100141430312220 is 22213034141001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3262369 + ... + 14523288.

It is an arithmetic number, because the mean of its divisors is an integer number (1680744681000).

Almost surely, 2^{100141430312220} is an apocalyptic number.

100141430312220 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 100141430312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161351489376000).

100141430312220 is an abundant number, since it is smaller than the sum of its proper divisors (222561548439780).

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

100141430312220 is a wasteful number, since it uses less digits than its factorization.

100141430312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17786148 (or 17786146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100141430312220 its reverse (22213034141001), we get a palindrome (122354464453221).

The spelling of 100141430312220 in words is "one hundred trillion, one hundred forty-one billion, four hundred thirty million, three hundred twelve thousand, two hundred twenty".