10100211200220 has 48 divisors (see below), whose sum is σ = 28283589089280. Its totient is φ = 2693104155456.

The previous prime is 10100211200179. The next prime is 10100211200231. The reversal of 10100211200220 is 2200211200101.

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 = 10100211200196 and 10100211200205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8350752 + ... + 9483431.

It is an arithmetic number, because the mean of its divisors is an integer number (589241439360).

Almost surely, 2^{10100211200220} is an apocalyptic number.

10100211200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100211200220 is an abundant number, since it is smaller than the sum of its proper divisors (18183377889060).

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

10100211200220 is a wasteful number, since it uses less digits than its factorization.

10100211200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843634 (or 17843632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100211200220 its reverse (2200211200101), we get a palindrome (12300422400321).

The spelling of 10100211200220 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred thousand, two hundred twenty".