102200002212121 has 16 divisors (see below), whose sum is σ = 112636379164608. Its totient is φ = 91955216232000.

The previous prime is 102200002212079. The next prime is 102200002212137. The reversal of 102200002212121 is 121212200002201.

It is a happy number.

It is not a de Polignac number, because 102200002212121 - 2²⁹ = 102199465341209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200002212095 and 102200002212104.

It is not an unprimeable number, because it can be changed into a prime (102200002210121) 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, 13983510 + ... + 19998463.

It is an arithmetic number, because the mean of its divisors is an integer number (7039773697788).

Almost surely, 2^{102200002212121} is an apocalyptic number.

102200002212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200002212121 is a deficient number, since it is larger than the sum of its proper divisors (10436376952487).

102200002212121 is a wasteful number, since it uses less digits than its factorization.

102200002212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33984792.

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

Adding to 102200002212121 its reverse (121212200002201), we get a palindrome (223412202214322).

The spelling of 102200002212121 in words is "one hundred two trillion, two hundred billion, two million, two hundred twelve thousand, one hundred twenty-one".