100022201021112 has 192 divisors, whose sum is σ = 264752430768000. Its totient is φ = 31484723457792.

The previous prime is 100022201021087. The next prime is 100022201021123. The reversal of 100022201021112 is 211120102220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022201021091 and 100022201021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315730858 + ... + 316047494.

It is an arithmetic number, because the mean of its divisors is an integer number (1378918910250).

Almost surely, 2^{100022201021112} is an apocalyptic number.

100022201021112 is a gapful number since it is divisible by the number (12) 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 100022201021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132376215384000).

100022201021112 is an abundant number, since it is smaller than the sum of its proper divisors (164730229746888).

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

100022201021112 is a wasteful number, since it uses less digits than its factorization.

100022201021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317010 (or 316983 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100022201021112 its reverse (211120102220001), we get a palindrome (311142303241113).

The spelling of 100022201021112 in words is "one hundred trillion, twenty-two billion, two hundred one million, twenty-one thousand, one hundred twelve".