100020102210 has 128 divisors (see below), whose sum is σ = 314656358400. Its totient is φ = 22124249280.

The previous prime is 100020102137. The next prime is 100020102269. The reversal of 100020102210 is 12201020001.

It is a super-3 number, since 3×100020102210³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100020102192 and 100020102201.

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, 794970 + ... + 912149.

It is an arithmetic number, because the mean of its divisors is an integer number (2458252800).

Almost surely, 2^100020102210 is an apocalyptic number.

100020102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020102210 is an abundant number, since it is smaller than the sum of its proper divisors (214636256190).

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

100020102210 is a wasteful number, since it uses less digits than its factorization.

100020102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707173 (or 1707167 counting only the distinct ones).

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

Adding to 100020102210 its reverse (12201020001), we get a palindrome (112221122211).

The spelling of 100020102210 in words is "one hundred billion, twenty million, one hundred two thousand, two hundred ten".