101203032100 has 72 divisors (see below), whose sum is σ = 224634603368. Its totient is φ = 39563596800.

The previous prime is 101203032089. The next prime is 101203032127. The reversal of 101203032100 is 1230302101.

It can be written as a sum of positive squares in 12 ways, for example, as 49440411904 + 51762620196 = 222352^2 + 227514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904864 + ... + 1010536.

Almost surely, 2^101203032100 is an apocalyptic number.

101203032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112317301684).

101203032100 is an abundant number, since it is smaller than the sum of its proper divisors (123431571268).

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

101203032100 is a wasteful number, since it uses less digits than its factorization.

101203032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105905 (or 105898 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101203032100 its reverse (1230302101), we get a palindrome (102433334201).

The spelling of 101203032100 in words is "one hundred one billion, two hundred three million, thirty-two thousand, one hundred".