100101120100 has 36 divisors (see below), whose sum is σ = 219212293300. Its totient is φ = 39673100160.

The previous prime is 100101120079. The next prime is 100101120113. The reversal of 100101120100 is 1021101001.

It can be written as a sum of positive squares in 6 ways, for example, as 240064036 + 99861056064 = 15494^2 + 316008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4580895 + ... + 4602694.

Almost surely, 2^100101120100 is an apocalyptic number.

100101120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101120100 is an abundant number, since it is smaller than the sum of its proper divisors (119111173200).

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

100101120100 is a wasteful number, since it uses less digits than its factorization.

100101120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183712 (or 9183705 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101120100 its reverse (1021101001), we get a palindrome (101122221101).

The spelling of 100101120100 in words is "one hundred billion, one hundred one million, one hundred twenty thousand, one hundred".