10010120021121 has 16 divisors (see below), whose sum is σ = 14560351243200. Its totient is φ = 6066665795520.

The previous prime is 10010120021117. The next prime is 10010120021147. The reversal of 10010120021121 is 12112002101001.

It is not a de Polignac number, because 10010120021121 - 2² = 10010120021117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010120021097 and 10010120021106.

It is not an unprimeable number, because it can be changed into a prime (10010120021521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985411 + ... + 4581623.

It is an arithmetic number, because the mean of its divisors is an integer number (910021952700).

Almost surely, 2^{10010120021121} is an apocalyptic number.

10010120021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010120021121 is a deficient number, since it is larger than the sum of its proper divisors (4550231222079).

10010120021121 is a wasteful number, since it uses less digits than its factorization.

10010120021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680576.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010120021121 its reverse (12112002101001), we get a palindrome (22122122122122).

The spelling of 10010120021121 in words is "ten trillion, ten billion, one hundred twenty million, twenty-one thousand, one hundred twenty-one".