102001010000121 has 6 divisors (see below), whose sum is σ = 147334792222410. Its totient is φ = 68000673333408.

The previous prime is 102001010000101. The next prime is 102001010000167. The reversal of 102001010000121 is 121000010100201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101921866244496 + 79143755625 = 10095636^2 + 281325^2 .

It is not a de Polignac number, because 102001010000121 - 2¹⁴ = 102001009983737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11333445555569 = 102001010000121 / (1 + 0 + 2 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 0 + 0 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (102001010000101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5666722777776 + ... + 5666722777793.

It is an arithmetic number, because the mean of its divisors is an integer number (24555798703735).

Almost surely, 2^{102001010000121} is an apocalyptic number.

It is an amenable number.

102001010000121 is a deficient number, since it is larger than the sum of its proper divisors (45333782222289).

102001010000121 is a wasteful number, since it uses less digits than its factorization.

102001010000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333445555575 (or 11333445555572 counting only the distinct ones).

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

Adding to 102001010000121 its reverse (121000010100201), we get a palindrome (223001020100322).

The spelling of 102001010000121 in words is "one hundred two trillion, one billion, ten million, one hundred twenty-one", and thus it is an aban number.