100202120000 has 140 divisors (see below), whose sum is σ = 253760020800. Its totient is φ = 39227328000.

The previous prime is 100202119987. The next prime is 100202120009. The reversal of 100202120000 is 21202001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100202120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1853351 + ... + 1906649.

Almost surely, 2^100202120000 is an apocalyptic number.

100202120000 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 100202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880010400).

100202120000 is an abundant number, since it is smaller than the sum of its proper divisors (153557900800).

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

100202120000 is an frugal number, since it uses more digits than its factorization.

100202120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53378 (or 53353 counting only the distinct ones).

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

Adding to 100202120000 its reverse (21202001), we get a palindrome (100223322001).

The spelling of 100202120000 in words is "one hundred billion, two hundred two million, one hundred twenty thousand".