102101022121 has 12 divisors (see below), whose sum is σ = 118775967300. Its totient is φ = 87511189920.

The previous prime is 102101022103. The next prime is 102101022169. The reversal of 102101022121 is 121220101201.

It can be written as a sum of positive squares in 2 ways, for example, as 40515651225 + 61585370896 = 201285^2 + 248164^2 .

It is not a de Polignac number, because 102101022121 - 2²¹ = 102098924969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101022181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1682691 + ... + 1742311.

It is an arithmetic number, because the mean of its divisors is an integer number (9897997275).

Almost surely, 2^102101022121 is an apocalyptic number.

It is an amenable number.

102101022121 is a deficient number, since it is larger than the sum of its proper divisors (16674945179).

102101022121 is an equidigital number, since it uses as much as digits as its factorization.

102101022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94584 (or 94577 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101022121 its reverse (121220101201), we get a palindrome (223321123322).

The spelling of 102101022121 in words is "one hundred two billion, one hundred one million, twenty-two thousand, one hundred twenty-one".