102121000101 has 64 divisors (see below), whose sum is σ = 169950412800. Its totient is φ = 60224871168.

The previous prime is 102121000061. The next prime is 102121000103. The reversal of 102121000101 is 101000121201.

It is a happy number.

It is not a de Polignac number, because 102121000101 - 2²³ = 102112611493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121000103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1061466 + ... + 1153668.

It is an arithmetic number, because the mean of its divisors is an integer number (2655475200).

Almost surely, 2^102121000101 is an apocalyptic number.

It is an amenable number.

102121000101 is a deficient number, since it is larger than the sum of its proper divisors (67829412699).

102121000101 is a wasteful number, since it uses less digits than its factorization.

102121000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92375 (or 92369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102121000101 its reverse (101000121201), we get a palindrome (203121121302).

The spelling of 102121000101 in words is "one hundred two billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.