10010100022120 has 32 divisors (see below), whose sum is σ = 24570245509920. Its totient is φ = 3640036371520.

The previous prime is 10010100022063. The next prime is 10010100022127. The reversal of 10010100022120 is 2122000101001.

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 = 10010100022097 and 10010100022106.

It is not an unprimeable number, because it can be changed into a prime (10010100022127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11375113222 + ... + 11375114101.

It is an arithmetic number, because the mean of its divisors is an integer number (767820172185).

Almost surely, 2^{10010100022120} is an apocalyptic number.

10010100022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010100022120 is an abundant number, since it is smaller than the sum of its proper divisors (14560145487800).

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

10010100022120 is a wasteful number, since it uses less digits than its factorization.

10010100022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22750227345 (or 22750227341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010100022120 its reverse (2122000101001), we get a palindrome (12132100123121).

The spelling of 10010100022120 in words is "ten trillion, ten billion, one hundred million, twenty-two thousand, one hundred twenty".