101222113310100 has 432 divisors, whose sum is σ = 334909670659200. Its totient is φ = 25500314972160.

The previous prime is 101222113310099. The next prime is 101222113310107. The reversal of 101222113310100 is 1013311222101.

101222113310100 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 211 + 331 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222113310107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17950363081 + ... + 17950368719.

Almost surely, 2^{101222113310100} is an apocalyptic number.

101222113310100 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 101222113310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167454835329600).

101222113310100 is an abundant number, since it is smaller than the sum of its proper divisors (233687557349100).

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

101222113310100 is a wasteful number, since it uses less digits than its factorization.

101222113310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8432 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101222113310100 its reverse (1013311222101), we get a palindrome (102235424532201).

The spelling of 101222113310100 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred thirteen million, three hundred ten thousand, one hundred".