100161265162112 has 1536 divisors, whose sum is σ = 290939257728000. Its totient is φ = 33762587443200.

The previous prime is 100161265162109. The next prime is 100161265162139. The reversal of 100161265162112 is 211261562161001.

It is a super-2 number, since 2×100161265162112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84810554162 + ... + 84810555342.

It is an arithmetic number, because the mean of its divisors is an integer number (189413579250).

Almost surely, 2^{100161265162112} 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 100161265162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145469628864000).

100161265162112 is an abundant number, since it is smaller than the sum of its proper divisors (190777992565888).

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

100161265162112 is a wasteful number, since it uses less digits than its factorization.

100161265162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 100161265162112 in words is "one hundred trillion, one hundred sixty-one billion, two hundred sixty-five million, one hundred sixty-two thousand, one hundred twelve".