100102221011000 has 128 divisors (see below), whose sum is σ = 252264344492160. Its totient is φ = 36959831424000.

The previous prime is 100102221010969. The next prime is 100102221011053. The reversal of 100102221011000 is 110122201001.

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, 637974557 + ... + 638131443.

It is an arithmetic number, because the mean of its divisors is an integer number (1970815191345).

Almost surely, 2^{100102221011000} is an apocalyptic number.

100102221011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102221011000 is an abundant number, since it is smaller than the sum of its proper divisors (152162123481160).

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

100102221011000 is a wasteful number, since it uses less digits than its factorization.

100102221011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206002 (or 205988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102221011000 its reverse (110122201001), we get a palindrome (100212343212001).

The spelling of 100102221011000 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, eleven thousand".