100202201012100 has 144 divisors (see below), whose sum is σ = 319073474865600. Its totient is φ = 24076474060800.

The previous prime is 100202201012083. The next prime is 100202201012101. The reversal of 100202201012100 is 1210102202001.

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

It is not an unprimeable number, because it can be changed into a prime (100202201012101) 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, 133982425 + ... + 134728224.

It is an arithmetic number, because the mean of its divisors is an integer number (2215788019900).

Almost surely, 2^{100202201012100} is an apocalyptic number.

100202201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202201012100 is an abundant number, since it is smaller than the sum of its proper divisors (218871273853500).

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

100202201012100 is a wasteful number, since it uses less digits than its factorization.

100202201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268710790 (or 268710783 counting only the distinct ones).

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

Adding to 100202201012100 its reverse (1210102202001), we get a palindrome (101412303214101).

The spelling of 100202201012100 in words is "one hundred trillion, two hundred two billion, two hundred one million, twelve thousand, one hundred".