100010021021200 has 120 divisors (see below), whose sum is σ = 241632828259200. Its totient is φ = 39778275694080.

The previous prime is 100010021021173. The next prime is 100010021021203. The reversal of 100010021021200 is 2120120010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100010021021203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64528966 + ... + 66060634.

It is an arithmetic number, because the mean of its divisors is an integer number (2013606902160).

Almost surely, 2^{100010021021200} is an apocalyptic number.

100010021021200 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 100010021021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120816414129600).

100010021021200 is an abundant number, since it is smaller than the sum of its proper divisors (141622807238000).

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

100010021021200 is a wasteful number, since it uses less digits than its factorization.

100010021021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532609 (or 1532598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010021021200 its reverse (2120120010001), we get a palindrome (102130141031201).

The spelling of 100010021021200 in words is "one hundred trillion, ten billion, twenty-one million, twenty-one thousand, two hundred".