100122022002012 has 48 divisors (see below), whose sum is σ = 236963898162432. Its totient is φ = 32896249263360.

The previous prime is 100122022001929. The next prime is 100122022002031. The reversal of 100122022002012 is 210200220221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122022001982 and 100122022002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10110178 + ... + 17391369.

It is an arithmetic number, because the mean of its divisors is an integer number (4936747878384).

Almost surely, 2^{100122022002012} is an apocalyptic number.

100122022002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122022002012 is an abundant number, since it is smaller than the sum of its proper divisors (136841876160420).

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

100122022002012 is a wasteful number, since it uses less digits than its factorization.

100122022002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27505898 (or 27505896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100122022002012 its reverse (210200220221001), we get a palindrome (310322242223013).

The spelling of 100122022002012 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, two thousand, twelve".