100122113311000 has 128 divisors (see below), whose sum is σ = 255755679716160. Its totient is φ = 36383649408000.

The previous prime is 100122113310959. The next prime is 100122113311019. The reversal of 100122113311000 is 113311221001.

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 31 ways as a sum of consecutive naturals, for example, 13374772 + ... + 19471228.

Almost surely, 2^{100122113311000} is an apocalyptic number.

100122113311000 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 100122113311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127877839858080).

100122113311000 is an abundant number, since it is smaller than the sum of its proper divisors (155633566405160).

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

100122113311000 is a wasteful number, since it uses less digits than its factorization.

100122113311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097982 (or 6097968 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100122113311000 its reverse (113311221001), we get a palindrome (100235424532001).

The spelling of 100122113311000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred thirteen million, three hundred eleven thousand".