101120011202121 has 64 divisors (see below), whose sum is σ = 141179946393600. Its totient is φ = 64320223309056.

The previous prime is 101120011202107. The next prime is 101120011202131. The reversal of 101120011202121 is 121202110021101.

It is a happy number.

It is not a de Polignac number, because 101120011202121 - 2²⁹ = 101119474331209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101120011202121.

It is not an unprimeable number, because it can be changed into a prime (101120011202131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291783635 + ... + 1291861911.

It is an arithmetic number, because the mean of its divisors is an integer number (2205936662400).

Almost surely, 2^{101120011202121} is an apocalyptic number.

It is an amenable number.

101120011202121 is a deficient number, since it is larger than the sum of its proper divisors (40059935191479).

101120011202121 is a wasteful number, since it uses less digits than its factorization.

101120011202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79398.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101120011202121 its reverse (121202110021101), we get a palindrome (222322121223222).

The spelling of 101120011202121 in words is "one hundred one trillion, one hundred twenty billion, eleven million, two hundred two thousand, one hundred twenty-one".