100231001202100 has 36 divisors (see below), whose sum is σ = 217521449447148. Its totient is φ = 40088681248000.

The previous prime is 100231001202047. The next prime is 100231001202103. The reversal of 100231001202100 is 1202100132001.

It can be written as a sum of positive squares in 6 ways, for example, as 28396663637904 + 71834337564196 = 5328852^2 + 8475514^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231001202103) 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, 45406921 + ... + 47563120.

It is an arithmetic number, because the mean of its divisors is an integer number (6042262484643).

Almost surely, 2^{100231001202100} is an apocalyptic number.

100231001202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100231001202100 is an abundant number, since it is smaller than the sum of its proper divisors (117290448245048).

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

100231001202100 is a wasteful number, since it uses less digits than its factorization.

100231001202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92980836 (or 92980829 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100231001202100 its reverse (1202100132001), we get a palindrome (101433101334101).

The spelling of 100231001202100 in words is "one hundred trillion, two hundred thirty-one billion, one million, two hundred two thousand, one hundred".