101000150460440 has 128 divisors (see below), whose sum is σ = 283494869222400. Its totient is φ = 31461702842880.

The previous prime is 101000150460437. The next prime is 101000150460481. The reversal of 101000150460440 is 44064051000101.

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, 4683404 + ... + 14964443.

It is an arithmetic number, because the mean of its divisors is an integer number (2214803665800).

Almost surely, 2^{101000150460440} is an apocalyptic number.

101000150460440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000150460440 is an abundant number, since it is smaller than the sum of its proper divisors (182494718761960).

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

101000150460440 is a wasteful number, since it uses less digits than its factorization.

101000150460440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19649545 (or 19649541 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 101000150460440 in words is "one hundred one trillion, one hundred fifty million, four hundred sixty thousand, four hundred forty".