100122111010012 has 96 divisors (see below), whose sum is σ = 222758728335360. Its totient is φ = 38304402197760.

The previous prime is 100122111009989. The next prime is 100122111010049. The reversal of 100122111010012 is 210010111221001.

It is a happy number.

It is a super-2 number, since 2×100122111010012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100122111009974 and 100122111010001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13154658 + ... + 19320694.

It is an arithmetic number, because the mean of its divisors is an integer number (2320403420160).

Almost surely, 2^{100122111010012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122111010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111379364167680).

100122111010012 is an abundant number, since it is smaller than the sum of its proper divisors (122636617325348).

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

100122111010012 is a wasteful number, since it uses less digits than its factorization.

100122111010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167531 (or 6167529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100122111010012 its reverse (210010111221001), we get a palindrome (310132222231013).

The spelling of 100122111010012 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, ten thousand, twelve".