10102202022121 has 32 divisors (see below), whose sum is σ = 11405164953600. Its totient is φ = 8868223351680.

The previous prime is 10102202022109. The next prime is 10102202022139. The reversal of 10102202022121 is 12122020220101.

It is a happy number.

It is not a de Polignac number, because 10102202022121 - 2²¹ = 10102199924969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102202022095 and 10102202022104.

It is not an unprimeable number, because it can be changed into a prime (10102202022151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444490860 + ... + 444513586.

It is an arithmetic number, because the mean of its divisors is an integer number (356411404800).

Almost surely, 2^{10102202022121} is an apocalyptic number.

10102202022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102202022121 is a deficient number, since it is larger than the sum of its proper divisors (1302962931479).

10102202022121 is a wasteful number, since it uses less digits than its factorization.

10102202022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33429.

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

Adding to 10102202022121 its reverse (12122020220101), we get a palindrome (22224222242222).

The spelling of 10102202022121 in words is "ten trillion, one hundred two billion, two hundred two million, twenty-two thousand, one hundred twenty-one".