101022120222100 has 864 divisors, whose sum is σ = 296495023104000. Its totient is φ = 29458719360000.

The previous prime is 101022120222097. The next prime is 101022120222143. The reversal of 101022120222100 is 1222021220101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49544932881 + ... + 49544934919.

It is an arithmetic number, because the mean of its divisors is an integer number (343165536000).

Almost surely, 2^{101022120222100} is an apocalyptic number.

101022120222100 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 101022120222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148247511552000).

101022120222100 is an abundant number, since it is smaller than the sum of its proper divisors (195472902881900).

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

101022120222100 is a wasteful number, since it uses less digits than its factorization.

101022120222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101022120222100 its reverse (1222021220101), we get a palindrome (102244141442201).

The spelling of 101022120222100 in words is "one hundred one trillion, twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, one hundred".