102100110101121 has 16 divisors (see below), whose sum is σ = 148831396959168. Its totient is φ = 61744627147200.

The previous prime is 102100110101089. The next prime is 102100110101159. The reversal of 102100110101121 is 121101011001201.

It is not a de Polignac number, because 102100110101121 - 2⁵ = 102100110101089 is a prime.

It is a super-2 number, since 2×102100110101121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100110101097 and 102100110101106.

It is not an unprimeable number, because it can be changed into a prime (102100110101161) 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, 3355671046 + ... + 3355701471.

It is an arithmetic number, because the mean of its divisors is an integer number (9301962309948).

Almost surely, 2^{102100110101121} is an apocalyptic number.

102100110101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100110101121 is a deficient number, since it is larger than the sum of its proper divisors (46731286858047).

102100110101121 is a wasteful number, since it uses less digits than its factorization.

102100110101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6711372992.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102100110101121 its reverse (121101011001201), we get a palindrome (223201121102322).

The spelling of 102100110101121 in words is "one hundred two trillion, one hundred billion, one hundred ten million, one hundred one thousand, one hundred twenty-one".