101022102121200 has 480 divisors, whose sum is σ = 360687922203840. Its totient is φ = 23998154342400.

The previous prime is 101022102121133. The next prime is 101022102121207. The reversal of 101022102121200 is 2121201220101.

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 101022102121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022102121207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 977584734 + ... + 977688066.

It is an arithmetic number, because the mean of its divisors is an integer number (751433171258).

Almost surely, 2^{101022102121200} is an apocalyptic number.

101022102121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022102121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180343961101920).

101022102121200 is an abundant number, since it is smaller than the sum of its proper divisors (259665820082640).

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

101022102121200 is a wasteful number, since it uses less digits than its factorization.

101022102121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105557 (or 105546 counting only the distinct ones).

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

Adding to 101022102121200 its reverse (2121201220101), we get a palindrome (103143303341301).

The spelling of 101022102121200 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred".