101020102201200 has 1920 divisors, whose sum is σ = 416492098355200. Its totient is φ = 20791107993600.

The previous prime is 101020102201181. The next prime is 101020102201211. The reversal of 101020102201200 is 2102201020101.

It is a super-2 number, since 2×101020102201200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41452646382 + ... + 41452648818.

Almost surely, 2^{101020102201200} is an apocalyptic number.

101020102201200 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 101020102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208246049177600).

101020102201200 is an abundant number, since it is smaller than the sum of its proper divisors (315471996154000).

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

101020102201200 is a wasteful number, since it uses less digits than its factorization.

101020102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2655 counting only the distinct ones).

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

Adding to 101020102201200 its reverse (2102201020101), we get a palindrome (103122303221301).

The spelling of 101020102201200 in words is "one hundred one trillion, twenty billion, one hundred two million, two hundred one thousand, two hundred".