101211010120121 has 16 divisors (see below), whose sum is σ = 110582129465280. Its totient is φ = 91868250358080.

The previous prime is 101211010120109. The next prime is 101211010120153. The reversal of 101211010120121 is 121021010112101.

It is a cyclic number.

It is not a de Polignac number, because 101211010120121 - 2²² = 101211005925817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211010120096 and 101211010120105.

It is not an unprimeable number, because it can be changed into a prime (101211010120321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369250295 + ... + 369524291.

It is an arithmetic number, because the mean of its divisors is an integer number (6911383091580).

Almost surely, 2^{101211010120121} is an apocalyptic number.

101211010120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211010120121 is a deficient number, since it is larger than the sum of its proper divisors (9371119345159).

101211010120121 is a wasteful number, since it uses less digits than its factorization.

101211010120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325624.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211010120121 its reverse (121021010112101), we get a palindrome (222232020232222).

The spelling of 101211010120121 in words is "one hundred one trillion, two hundred eleven billion, ten million, one hundred twenty thousand, one hundred twenty-one".