102000101121 has 16 divisors (see below), whose sum is σ = 151699252800. Its totient is φ = 67735471104.

The previous prime is 102000101101. The next prime is 102000101149. The reversal of 102000101121 is 121101000201.

It is a happy number.

It is not a de Polignac number, because 102000101121 - 2¹⁸ = 101999838977 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102000101101) 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, 7342831 + ... + 7356708.

It is an arithmetic number, because the mean of its divisors is an integer number (9481203300).

Almost surely, 2^102000101121 is an apocalyptic number.

It is an amenable number.

102000101121 is a deficient number, since it is larger than the sum of its proper divisors (49699151679).

102000101121 is a wasteful number, since it uses less digits than its factorization.

102000101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14699805 (or 14699799 counting only the distinct ones).

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

Adding to 102000101121 its reverse (121101000201), we get a palindrome (223101101322).

The spelling of 102000101121 in words is "one hundred two billion, one hundred one thousand, one hundred twenty-one".