101120211012121 has 16 divisors (see below), whose sum is σ = 121688272432000. Its totient is φ = 82085721211008.

The previous prime is 101120211012017. The next prime is 101120211012157. The reversal of 101120211012121 is 121210112021101.

It is a cyclic number.

It is not a de Polignac number, because 101120211012121 - 2²³ = 101120202623513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120211012095 and 101120211012104.

It is not an unprimeable number, because it can be changed into a prime (101120211015121) 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, 124275090 + ... + 125086123.

It is an arithmetic number, because the mean of its divisors is an integer number (7605517027000).

Almost surely, 2^{101120211012121} is an apocalyptic number.

It is an amenable number.

101120211012121 is a deficient number, since it is larger than the sum of its proper divisors (20568061419879).

101120211012121 is a wasteful number, since it uses less digits than its factorization.

101120211012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249364288.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101120211012121 its reverse (121210112021101), we get a palindrome (222330323033222).

The spelling of 101120211012121 in words is "one hundred one trillion, one hundred twenty billion, two hundred eleven million, twelve thousand, one hundred twenty-one".