100202122253000 has 128 divisors (see below), whose sum is σ = 244695993984000. Its totient is φ = 38333729491200.

The previous prime is 100202122252993. The next prime is 100202122253029. The reversal of 100202122253000 is 352221202001.

100202122253000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 200287166 + ... + 200786834.

It is an arithmetic number, because the mean of its divisors is an integer number (1911687453000).

Almost surely, 2^{100202122253000} is an apocalyptic number.

100202122253000 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 100202122253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122347996992000).

100202122253000 is an abundant number, since it is smaller than the sum of its proper divisors (144493871731000).

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

100202122253000 is a wasteful number, since it uses less digits than its factorization.

100202122253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508432 (or 508418 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 100202122253000 its reverse (352221202001), we get a palindrome (100554343455001).

The spelling of 100202122253000 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two million, two hundred fifty-three thousand".