101837126864 has 80 divisors (see below), whose sum is σ = 225100771200. Its totient is φ = 44179322880.

The previous prime is 101837126861. The next prime is 101837126869. The reversal of 101837126864 is 468621738101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101837126861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822412 + ... + 1877460.

It is an arithmetic number, because the mean of its divisors is an integer number (2813759640).

Almost surely, 2^101837126864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101837126864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112550385600).

101837126864 is an abundant number, since it is smaller than the sum of its proper divisors (123263644336).

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

101837126864 is a wasteful number, since it uses less digits than its factorization.

101837126864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55548 (or 55542 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 101837126864 in words is "one hundred one billion, eight hundred thirty-seven million, one hundred twenty-six thousand, eight hundred sixty-four".