100220538402900 has 576 divisors, whose sum is σ = 343380522240000. Its totient is φ = 25003149050880.

The previous prime is 100220538402833. The next prime is 100220538402917. The reversal of 100220538402900 is 9204835022001.

It is a happy number.

100220538402900 is a `hidden beast` number, since 10 + 0 + 2 + 20 + 538 + 4 + 0 + 2 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15835126936 + ... + 15835133264.

It is an arithmetic number, because the mean of its divisors is an integer number (596146740000).

Almost surely, 2^{100220538402900} is an apocalyptic number.

100220538402900 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 100220538402900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171690261120000).

100220538402900 is an abundant number, since it is smaller than the sum of its proper divisors (243159983837100).

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

100220538402900 is a wasteful number, since it uses less digits than its factorization.

100220538402900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 100220538402900 in words is "one hundred trillion, two hundred twenty billion, five hundred thirty-eight million, four hundred two thousand, nine hundred".