211220101100100 has 36 divisors (see below), whose sum is σ = 611130159183824. Its totient is φ = 56325360293280.

The previous prime is 211220101100069. The next prime is 211220101100131. The reversal of 211220101100100 is 1001101022112.

It is an interprime number because it is at equal distance from previous prime (211220101100069) and next prime (211220101100131).

It is a super-2 number, since 2×211220101100100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352033501534 + ... + 352033502133.

Almost surely, 2^{211220101100100} is an apocalyptic number.

211220101100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220101100100 is an abundant number, since it is smaller than the sum of its proper divisors (399910058083724).

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

211220101100100 is a wasteful number, since it uses less digits than its factorization.

211220101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704067003684 (or 704067003677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211220101100100 its reverse (1001101022112), we get a palindrome (212221202122212).

The spelling of 211220101100100 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred one million, one hundred thousand, one hundred".