100102202220 has 192 divisors, whose sum is σ = 285976535040. Its totient is φ = 26160019200.

The previous prime is 100102202201. The next prime is 100102202231. The reversal of 100102202220 is 22202201001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102202196 and 100102202205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369380685 + ... + 369380955.

It is an arithmetic number, because the mean of its divisors is an integer number (1489461120).

Almost surely, 2^100102202220 is an apocalyptic number.

100102202220 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 100102202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142988267520).

100102202220 is an abundant number, since it is smaller than the sum of its proper divisors (185874332820).

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

100102202220 is a wasteful number, since it uses less digits than its factorization.

100102202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

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

Adding to 100102202220 its reverse (22202201001), we get a palindrome (122304403221).

The spelling of 100102202220 in words is "one hundred billion, one hundred two million, two hundred two thousand, two hundred twenty".