101009691840 has 112 divisors (see below), whose sum is σ = 320808096000. Its totient is φ = 26927324160.

The previous prime is 101009691821. The next prime is 101009691851. The reversal of 101009691840 is 48196900101.

It is a super-2 number, since 2×101009691840² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344005 + ... + 3374075.

It is an arithmetic number, because the mean of its divisors is an integer number (2864358000).

Almost surely, 2^101009691840 is an apocalyptic number.

101009691840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101009691840 is an abundant number, since it is smaller than the sum of its proper divisors (219798404160).

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

101009691840 is a wasteful number, since it uses less digits than its factorization.

101009691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33590 (or 33580 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 101009691840 in words is "one hundred one billion, nine million, six hundred ninety-one thousand, eight hundred forty".