100202101200000 has 2304 divisors, whose sum is σ = 393796795392000. Its totient is φ = 24371020800000.

The previous prime is 100202101199999. The next prime is 100202101200049. The reversal of 100202101200000 is 2101202001.

It is a super-2 number, since 2×100202101200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 228250799781 + ... + 228250800219.

It is an arithmetic number, because the mean of its divisors is an integer number (170918748000).

Almost surely, 2^{100202101200000} is an apocalyptic number.

100202101200000 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 100202101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196898397696000).

100202101200000 is an abundant number, since it is smaller than the sum of its proper divisors (293594694192000).

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

100202101200000 is an equidigital number, since it uses as much as digits as its factorization.

100202101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100202101200000 its reverse (2101202001), we get a palindrome (100204202402001).

The spelling of 100202101200000 in words is "one hundred trillion, two hundred two billion, one hundred one million, two hundred thousand".