100012020201120 has 48 divisors (see below), whose sum is σ = 315037863635040. Its totient is φ = 26669872053504.

The previous prime is 100012020201113. The next prime is 100012020201133. The reversal of 100012020201120 is 21102020210001.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 100012020201096 and 100012020201105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104179187230 + ... + 104179188189.

It is an arithmetic number, because the mean of its divisors is an integer number (6563288825730).

Almost surely, 2^{100012020201120} is an apocalyptic number.

100012020201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012020201120 is an abundant number, since it is smaller than the sum of its proper divisors (215025843433920).

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

100012020201120 is a wasteful number, since it uses less digits than its factorization.

100012020201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208358375437 (or 208358375429 counting only the distinct ones).

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

Adding to 100012020201120 its reverse (21102020210001), we get a palindrome (121114040411121).

The spelling of 100012020201120 in words is "one hundred trillion, twelve billion, twenty million, two hundred one thousand, one hundred twenty".