10100101201120 has 96 divisors (see below), whose sum is σ = 27338965311168. Its totient is φ = 3454169038848.

The previous prime is 10100101201103. The next prime is 10100101201133. The reversal of 10100101201120 is 2110210100101.

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 = 10100101201097 and 10100101201106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10912977 + ... + 11802256.

It is an arithmetic number, because the mean of its divisors is an integer number (284780888658).

Almost surely, 2^{10100101201120} is an apocalyptic number.

10100101201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101201120 is an abundant number, since it is smaller than the sum of its proper divisors (17238864110048).

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

10100101201120 is a wasteful number, since it uses less digits than its factorization.

10100101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22715652 (or 22715644 counting only the distinct ones).

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

Adding to 10100101201120 its reverse (2110210100101), we get a palindrome (12210311301221).

The spelling of 10100101201120 in words is "ten trillion, one hundred billion, one hundred one million, two hundred one thousand, one hundred twenty".