211220101022000 has 80 divisors (see below), whose sum is σ = 583691662062912. Its totient is φ = 72418320345600.

The previous prime is 211220101021987. The next prime is 211220101022011. The reversal of 211220101022000 is 220101022112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×211220101022000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 7543561037 + ... + 7543589036.

Almost surely, 2^{211220101022000} is an apocalyptic number.

211220101022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220101022000 is an abundant number, since it is smaller than the sum of its proper divisors (372471561040912).

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

211220101022000 is a wasteful number, since it uses less digits than its factorization.

211220101022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15087150103 (or 15087150087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211220101022000 its reverse (220101022112), we get a palindrome (211440202044112).

The spelling of 211220101022000 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred one million, twenty-two thousand".