101202002211121 has 16 divisors (see below), whose sum is σ = 115776746661888. Its totient is φ = 86656598395200.

The previous prime is 101202002211053. The next prime is 101202002211131. The reversal of 101202002211121 is 121112200202101.

It is a cyclic number.

It is not a de Polignac number, because 101202002211121 - 2⁷ = 101202002210993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101202002211095 and 101202002211104.

It is not an unprimeable number, because it can be changed into a prime (101202002211131) 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, 104558331 + ... + 105521791.

It is an arithmetic number, because the mean of its divisors is an integer number (7236046666368).

Almost surely, 2^{101202002211121} is an apocalyptic number.

It is an amenable number.

101202002211121 is a deficient number, since it is larger than the sum of its proper divisors (14574744450767).

101202002211121 is a wasteful number, since it uses less digits than its factorization.

101202002211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978672.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202002211121 its reverse (121112200202101), we get a palindrome (222314202413222).

The spelling of 101202002211121 in words is "one hundred one trillion, two hundred two billion, two million, two hundred eleven thousand, one hundred twenty-one".