100020121010400 has 72 divisors (see below), whose sum is σ = 325565493896664. Its totient is φ = 26672032268800.

The previous prime is 100020121010399. The next prime is 100020121010401. The reversal of 100020121010400 is 4010121020001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100020121010399) and next prime (100020121010401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020121010401) 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, 20837522811 + ... + 20837527610.

It is an arithmetic number, because the mean of its divisors is an integer number (4521742970787).

Almost surely, 2^{100020121010400} is an apocalyptic number.

100020121010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020121010400 is an abundant number, since it is smaller than the sum of its proper divisors (225545372886264).

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

100020121010400 is a wasteful number, since it uses less digits than its factorization.

100020121010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41675050444 (or 41675050431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100020121010400 its reverse (4010121020001), we get a palindrome (104030242030401).

The spelling of 100020121010400 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, ten thousand, four hundred".