100270672110 has 384 divisors, whose sum is σ = 331055382528. Its totient is φ = 20528640000.

The previous prime is 100270672063. The next prime is 100270672129. The reversal of 100270672110 is 11276072001.

It is a super-2 number, since 2×100270672110² (a number of 23 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, 20250135 + ... + 20255085.

It is an arithmetic number, because the mean of its divisors is an integer number (862123392).

Almost surely, 2^100270672110 is an apocalyptic number.

100270672110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100270672110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165527691264).

100270672110 is an abundant number, since it is smaller than the sum of its proper divisors (230784710418).

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

100270672110 is a wasteful number, since it uses less digits than its factorization.

100270672110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 100270672110 in words is "one hundred billion, two hundred seventy million, six hundred seventy-two thousand, one hundred ten".