101907107412 has 96 divisors (see below), whose sum is σ = 264107547648. Its totient is φ = 30324000000.

The previous prime is 101907107387. The next prime is 101907107441. The reversal of 101907107412 is 214701709101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2330712 + ... + 2374032.

It is an arithmetic number, because the mean of its divisors is an integer number (2751120288).

Almost surely, 2^101907107412 is an apocalyptic number.

101907107412 is a gapful number since it is divisible by the number (12) 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 101907107412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132053773824).

101907107412 is an abundant number, since it is smaller than the sum of its proper divisors (162200440236).

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

101907107412 is a wasteful number, since it uses less digits than its factorization.

101907107412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43661 (or 43659 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The spelling of 101907107412 in words is "one hundred one billion, nine hundred seven million, one hundred seven thousand, four hundred twelve".