101712157100 has 72 divisors (see below), whose sum is σ = 230437646880. Its totient is φ = 38894676480.

The previous prime is 101712157091. The next prime is 101712157109. The reversal of 101712157100 is 1751217101.

It is an interprime number because it is at equal distance from previous prime (101712157091) and next prime (101712157109).

It is a self number, because there is not a number n which added to its sum of digits gives 101712157100.

It is not an unprimeable number, because it can be changed into a prime (101712157109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4572806 + ... + 4594994.

Almost surely, 2^101712157100 is an apocalyptic number.

101712157100 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 101712157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115218823440).

101712157100 is an abundant number, since it is smaller than the sum of its proper divisors (128725489780).

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

101712157100 is a wasteful number, since it uses less digits than its factorization.

101712157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24219 (or 24212 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 26.

The spelling of 101712157100 in words is "one hundred one billion, seven hundred twelve million, one hundred fifty-seven thousand, one hundred".