10001200211220 has 48 divisors (see below), whose sum is σ = 28030788148608. Its totient is φ = 2664374574720.

The previous prime is 10001200211213. The next prime is 10001200211251. The reversal of 10001200211220 is 2211200210001.

It is a super-2 number, since 2×10001200211220² (a number of 27 digits) contains 22 as substring.

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 = 10001200211196 and 10001200211205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81567864 + ... + 81690383.

It is an arithmetic number, because the mean of its divisors is an integer number (583974753096).

Almost surely, 2^{10001200211220} is an apocalyptic number.

10001200211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001200211220 is an abundant number, since it is smaller than the sum of its proper divisors (18029587937388).

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

10001200211220 is a wasteful number, since it uses less digits than its factorization.

10001200211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163259280 (or 163259278 counting only the distinct ones).

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

Adding to 10001200211220 its reverse (2211200210001), we get a palindrome (12212400421221).

The spelling of 10001200211220 in words is "ten trillion, one billion, two hundred million, two hundred eleven thousand, two hundred twenty".