102102011121 has 96 divisors (see below), whose sum is σ = 160810790400. Its totient is φ = 56983564800.

The previous prime is 102102011113. The next prime is 102102011147. The reversal of 102102011121 is 121110201201.

It is not a de Polignac number, because 102102011121 - 2³ = 102102011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102011097 and 102102011106.

It is not an unprimeable number, because it can be changed into a prime (102102011161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249637965 + ... + 249638373.

It is an arithmetic number, because the mean of its divisors is an integer number (1675112400).

Almost surely, 2^102102011121 is an apocalyptic number.

102102011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102011121 is a deficient number, since it is larger than the sum of its proper divisors (58708779279).

102102011121 is a wasteful number, since it uses less digits than its factorization.

102102011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102102011121 its reverse (121110201201), we get a palindrome (223212212322).

The spelling of 102102011121 in words is "one hundred two billion, one hundred two million, eleven thousand, one hundred twenty-one".