102001022202121 has 12 divisors (see below), whose sum is σ = 118663922077380. Its totient is φ = 87422321041440.

The previous prime is 102001022202103. The next prime is 102001022202199. The reversal of 102001022202121 is 121202220100201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89001110721600 + 12999911480521 = 9434040^2 + 3605539^2 .

It is not a de Polignac number, because 102001022202121 - 2²⁵ = 102000988647689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001022202095 and 102001022202104.

It is not an unprimeable number, because it can be changed into a prime (102001022203121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84232690 + ... + 85435051.

It is an arithmetic number, because the mean of its divisors is an integer number (9888660173115).

Almost surely, 2^{102001022202121} is an apocalyptic number.

It is an amenable number.

102001022202121 is a deficient number, since it is larger than the sum of its proper divisors (16662899875259).

102001022202121 is a wasteful number, since it uses less digits than its factorization.

102001022202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169680024 (or 169680017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102001022202121 its reverse (121202220100201), we get a palindrome (223203242302322).

The spelling of 102001022202121 in words is "one hundred two trillion, one billion, twenty-two million, two hundred two thousand, one hundred twenty-one".