100020121200009 has 12 divisors (see below), whose sum is σ = 152971950070836. Its totient is φ = 62757723105792.

The previous prime is 100020121199983. The next prime is 100020121200047. The reversal of 100020121200009 is 900002121020001.

It can be written as a sum of positive squares in 2 ways, for example, as 56672711184384 + 43347410015625 = 7528128^2 + 6583875^2 .

It is not a de Polignac number, because 100020121200009 - 2¹² = 100020121195913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020121199964 and 100020121200000.

It is not an unprimeable number, because it can be changed into a prime (100020121200059) 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, 326863141024 + ... + 326863141329.

It is an arithmetic number, because the mean of its divisors is an integer number (12747662505903).

Almost surely, 2^{100020121200009} is an apocalyptic number.

It is an amenable number.

100020121200009 is a deficient number, since it is larger than the sum of its proper divisors (52951828870827).

100020121200009 is a wasteful number, since it uses less digits than its factorization.

100020121200009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653726282376 (or 653726282373 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 100020121200009 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, two hundred thousand, nine".