101912697040 has 360 divisors, whose sum is σ = 317396908512. Its totient is φ = 30088558080.

The previous prime is 101912696957. The next prime is 101912697041. The reversal of 101912697040 is 40796219101.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 101912696984 and 101912697002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101912697041) 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 71 ways as a sum of consecutive naturals, for example, 15563047 + ... + 15569593.

Almost surely, 2^101912697040 is an apocalyptic number.

101912697040 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 101912697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158698454256).

101912697040 is an abundant number, since it is smaller than the sum of its proper divisors (215484211472).

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

101912697040 is a wasteful number, since it uses less digits than its factorization.

101912697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 101912697040 in words is "one hundred one billion, nine hundred twelve million, six hundred ninety-seven thousand, forty".