102001010111121 has 16 divisors (see below), whose sum is σ = 148376689110720. Its totient is φ = 61813967550720.

The previous prime is 102001010111081. The next prime is 102001010111123. The reversal of 102001010111121 is 121111010100201.

It is not a de Polignac number, because 102001010111121 - 2⁶ = 102001010111057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001010111097 and 102001010111106.

It is not an unprimeable number, because it can be changed into a prime (102001010111123) 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, 120232300 + ... + 121077693.

It is an arithmetic number, because the mean of its divisors is an integer number (9273543069420).

Almost surely, 2^{102001010111121} is an apocalyptic number.

102001010111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001010111121 is a deficient number, since it is larger than the sum of its proper divisors (46375678999599).

102001010111121 is a wasteful number, since it uses less digits than its factorization.

102001010111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241322816.

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

Adding to 102001010111121 its reverse (121111010100201), we get a palindrome (223112020211322).

The spelling of 102001010111121 in words is "one hundred two trillion, one billion, ten million, one hundred eleven thousand, one hundred twenty-one".