10211200112220 has 96 divisors (see below), whose sum is σ = 28724022835200. Its totient is φ = 2710369459200.

The previous prime is 10211200112209. The next prime is 10211200112231. The reversal of 10211200112220 is 2221100211201.

It is an interprime number because it is at equal distance from previous prime (10211200112209) and next prime (10211200112231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211200112220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18682381 + ... + 19221179.

It is an arithmetic number, because the mean of its divisors is an integer number (299208571200).

Almost surely, 2^{10211200112220} is an apocalyptic number.

10211200112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200112220 is an abundant number, since it is smaller than the sum of its proper divisors (18512822722980).

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

10211200112220 is a wasteful number, since it uses less digits than its factorization.

10211200112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540275 (or 540273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211200112220 its reverse (2221100211201), we get a palindrome (12432300323421).

The spelling of 10211200112220 in words is "ten trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, two hundred twenty".