100202122002000 has 160 divisors (see below), whose sum is σ = 323278054130304. Its totient is φ = 26701838592000.

The previous prime is 100202122001963. The next prime is 100202122002043. The reversal of 100202122002000 is 200221202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2710440 + ... + 14413560.

Almost surely, 2^{100202122002000} is an apocalyptic number.

100202122002000 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 100202122002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161639027065152).

100202122002000 is an abundant number, since it is smaller than the sum of its proper divisors (223075932128304).

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

100202122002000 is a wasteful number, since it uses less digits than its factorization.

100202122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704574 (or 11704558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100202122002000 its reverse (200221202001), we get a palindrome (100402343204001).

The spelling of 100202122002000 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two million, two thousand".