102011021022121 has 8 divisors (see below), whose sum is σ = 102115898068680. Its totient is φ = 101906165628288.

The previous prime is 102011021022061. The next prime is 102011021022143. The reversal of 102011021022121 is 121220120110201.

It can be written as a sum of positive squares in 4 ways, for example, as 28424476394521 + 73586544627600 = 5331461^2 + 8578260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102011021022121 - 2²⁵ = 102010987467689 is a prime.

It is a super-2 number, since 2×102011021022121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011021022095 and 102011021022104.

It is not an unprimeable number, because it can be changed into a prime (102011021026121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4022575 + ... + 14839243.

It is an arithmetic number, because the mean of its divisors is an integer number (12764487258585).

Almost surely, 2^{102011021022121} is an apocalyptic number.

It is an amenable number.

102011021022121 is a deficient number, since it is larger than the sum of its proper divisors (104877046559).

102011021022121 is a wasteful number, since it uses less digits than its factorization.

102011021022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826363.

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

Adding to 102011021022121 its reverse (121220120110201), we get a palindrome (223231141132322).

The spelling of 102011021022121 in words is "one hundred two trillion, eleven billion, twenty-one million, twenty-two thousand, one hundred twenty-one".