101290921040 has 40 divisors (see below), whose sum is σ = 235718246400. Its totient is φ = 40479060096.

The previous prime is 101290921031. The next prime is 101290921051. The reversal of 101290921040 is 40129092101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×101290921040⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101290920994 and 101290921012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495440 + ... + 669359.

It is an arithmetic number, because the mean of its divisors is an integer number (5892956160).

Almost surely, 2^101290921040 is an apocalyptic number.

101290921040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101290921040 is an abundant number, since it is smaller than the sum of its proper divisors (134427325360).

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

101290921040 is a wasteful number, since it uses less digits than its factorization.

101290921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165899 (or 1165893 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 101290921040 in words is "one hundred one billion, two hundred ninety million, nine hundred twenty-one thousand, forty".