101202220120100 has 288 divisors, whose sum is σ = 253408840796160. Its totient is φ = 34694770176000.

The previous prime is 101202220120061. The next prime is 101202220120109. The reversal of 101202220120100 is 1021022202101.

It is not an unprimeable number, because it can be changed into a prime (101202220120109) 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, 3710969465 + ... + 3710996735.

It is an arithmetic number, because the mean of its divisors is an integer number (879891808320).

Almost surely, 2^{101202220120100} is an apocalyptic number.

101202220120100 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 101202220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126704420398080).

101202220120100 is an abundant number, since it is smaller than the sum of its proper divisors (152206620676060).

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

101202220120100 is a wasteful number, since it uses less digits than its factorization.

101202220120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28171 (or 28164 counting only the distinct ones).

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

Adding to 101202220120100 its reverse (1021022202101), we get a palindrome (102223242322201).

The spelling of 101202220120100 in words is "one hundred one trillion, two hundred two billion, two hundred twenty million, one hundred twenty thousand, one hundred".