101200220000000 has 576 divisors, whose sum is σ = 280013709725568. Its totient is φ = 36192000000000.

The previous prime is 101200219999973. The next prime is 101200220000003. The reversal of 101200220000000 is 22002101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200220000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13419996230 + ... + 13420003770.

It is an arithmetic number, because the mean of its divisors is an integer number (486134912718).

Almost surely, 2^{101200220000000} is an apocalyptic number.

101200220000000 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 101200220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140006854862784).

101200220000000 is an abundant number, since it is smaller than the sum of its proper divisors (178813489725568).

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

101200220000000 is an frugal number, since it uses more digits than its factorization.

101200220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 101200220000000 its reverse (22002101), we get a palindrome (101200242002101).

The spelling of 101200220000000 in words is "one hundred one trillion, two hundred billion, two hundred twenty million", and thus it is an aban number.