102102210100121 has 32 divisors (see below), whose sum is σ = 128621274236928. Its totient is φ = 78734207543040.

The previous prime is 102102210100103. The next prime is 102102210100141. The reversal of 102102210100121 is 121001012201201.

It is not a de Polignac number, because 102102210100121 - 2¹⁸ = 102102209837977 is a prime.

It is a super-2 number, since 2×102102210100121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102210100096 and 102102210100105.

It is not an unprimeable number, because it can be changed into a prime (102102210100141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438875 + ... + 14697968.

It is an arithmetic number, because the mean of its divisors is an integer number (4019414819904).

Almost surely, 2^{102102210100121} is an apocalyptic number.

102102210100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102210100121 is a deficient number, since it is larger than the sum of its proper divisors (26519064136807).

102102210100121 is a wasteful number, since it uses less digits than its factorization.

102102210100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137621.

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

Adding to 102102210100121 its reverse (121001012201201), we get a palindrome (223103222301322).

The spelling of 102102210100121 in words is "one hundred two trillion, one hundred two billion, two hundred ten million, one hundred thousand, one hundred twenty-one".