101000010020121 has 48 divisors (see below), whose sum is σ = 154501994499840. Its totient is φ = 63402352231680.

The previous prime is 101000010020071. The next prime is 101000010020123. The reversal of 101000010020121 is 121020010000101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101000010020121 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101000010020123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16428976 + ... + 21723518.

It is an arithmetic number, because the mean of its divisors is an integer number (3218791552080).

Almost surely, 2^{101000010020121} is an apocalyptic number.

It is an amenable number.

101000010020121 is a deficient number, since it is larger than the sum of its proper divisors (53501984479719).

101000010020121 is a wasteful number, since it uses less digits than its factorization.

101000010020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295246 (or 5295243 counting only the distinct ones).

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

Adding to 101000010020121 its reverse (121020010000101), we get a palindrome (222020020020222).

The spelling of 101000010020121 in words is "one hundred one trillion, ten million, twenty thousand, one hundred twenty-one".