101221120211100 has 72 divisors (see below), whose sum is σ = 292871728686768. Its totient is φ = 26991811392000.

The previous prime is 101221120211069. The next prime is 101221120211131. The reversal of 101221120211100 is 1112021122101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101221120211069) and next prime (101221120211131).

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 101221120211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13752432 + ... + 19788168.

Almost surely, 2^{101221120211100} is an apocalyptic number.

101221120211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221120211100 is an abundant number, since it is smaller than the sum of its proper divisors (191650608475668).

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

101221120211100 is a wasteful number, since it uses less digits than its factorization.

101221120211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091655 (or 6091648 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221120211100 its reverse (1112021122101), we get a palindrome (102333141333201).

The spelling of 101221120211100 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand, one hundred".