100020122012000 has 96 divisors (see below), whose sum is σ = 258683621021280. Its totient is φ = 37902361996800.

The previous prime is 100020122011987. The next prime is 100020122012009. The reversal of 100020122012000 is 210221020001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020122012009) 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, 657951119 + ... + 658103118.

It is an arithmetic number, because the mean of its divisors is an integer number (2694621052305).

Almost surely, 2^{100020122012000} is an apocalyptic number.

100020122012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020122012000 is an abundant number, since it is smaller than the sum of its proper divisors (158663499009280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100020122012000 is a wasteful number, since it uses less digits than its factorization.

100020122012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316054281 (or 1316054263 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100020122012000 its reverse (210221020001), we get a palindrome (100230343032001).

The spelling of 100020122012000 in words is "one hundred trillion, twenty billion, one hundred twenty-two million, twelve thousand".