100201101010120 has 128 divisors (see below), whose sum is σ = 260439270192000. Its totient is φ = 34290320486400.

The previous prime is 100201101010093. The next prime is 100201101010183. The reversal of 100201101010120 is 21010101102001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100201101010097 and 100201101010106.

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, 82793755 + ... + 83995285.

It is an arithmetic number, because the mean of its divisors is an integer number (2034681798375).

Almost surely, 2^{100201101010120} is an apocalyptic number.

100201101010120 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 100201101010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130219635096000).

100201101010120 is an abundant number, since it is smaller than the sum of its proper divisors (160238169181880).

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

100201101010120 is a wasteful number, since it uses less digits than its factorization.

100201101010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212719 (or 1212715 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100201101010120 its reverse (21010101102001), we get a palindrome (121211202112121).

The spelling of 100201101010120 in words is "one hundred trillion, two hundred one billion, one hundred one million, ten thousand, one hundred twenty".