102010021201121 has 16 divisors (see below), whose sum is σ = 111316696495488. Its totient is φ = 92708855712000.

The previous prime is 102010021201097. The next prime is 102010021201229. The reversal of 102010021201121 is 121102120010201.

It is not a de Polignac number, because 102010021201121 - 2¹⁸ = 102010020938977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010021201096 and 102010021201105.

It is not an unprimeable number, because it can be changed into a prime (102010021204121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615856505 + ... + 616022121.

It is an arithmetic number, because the mean of its divisors is an integer number (6957293530968).

Almost surely, 2^{102010021201121} is an apocalyptic number.

102010021201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102010021201121 is a deficient number, since it is larger than the sum of its proper divisors (9306675294367).

102010021201121 is a wasteful number, since it uses less digits than its factorization.

102010021201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181912.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102010021201121 its reverse (121102120010201), we get a palindrome (223112141211322).

The spelling of 102010021201121 in words is "one hundred two trillion, ten billion, twenty-one million, two hundred one thousand, one hundred twenty-one".