102101120121 has 192 divisors, whose sum is σ = 192202730496. Its totient is φ = 47355840000.

The previous prime is 102101120119. The next prime is 102101120153. The reversal of 102101120121 is 121021101201.

It is not a de Polignac number, because 102101120121 - 2¹ = 102101120119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102101120097 and 102101120106.

It is not an unprimeable number, because it can be changed into a prime (102101120321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195221766 + ... + 195222288.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055888).

Almost surely, 2^102101120121 is an apocalyptic number.

102101120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101120121 is a deficient number, since it is larger than the sum of its proper divisors (90101610375).

102101120121 is a wasteful number, since it uses less digits than its factorization.

102101120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

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

Adding to 102101120121 its reverse (121021101201), we get a palindrome (223122221322).

It can be divided in two parts, 102101 and 120121, that added together give a palindrome (222222).

The spelling of 102101120121 in words is "one hundred two billion, one hundred one million, one hundred twenty thousand, one hundred twenty-one".