101012002002121 has 32 divisors (see below), whose sum is σ = 123995288332800. Its totient is φ = 80314575667200.

The previous prime is 101012002002103. The next prime is 101012002002217. The reversal of 101012002002121 is 121200200210101.

It is not a de Polignac number, because 101012002002121 - 2⁷ = 101012002001993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012002002101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23800441 + ... + 27721561.

It is an arithmetic number, because the mean of its divisors is an integer number (3874852760400).

Almost surely, 2^{101012002002121} is an apocalyptic number.

It is an amenable number.

101012002002121 is a deficient number, since it is larger than the sum of its proper divisors (22983286330679).

101012002002121 is a wasteful number, since it uses less digits than its factorization.

101012002002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924265.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101012002002121 its reverse (121200200210101), we get a palindrome (222212202212222).

The spelling of 101012002002121 in words is "one hundred one trillion, twelve billion, two million, two thousand, one hundred twenty-one".