101811125840 has 40 divisors (see below), whose sum is σ = 237345550728. Its totient is φ = 40615257600.

The previous prime is 101811125837. The next prime is 101811125879. The reversal of 101811125840 is 48521118101.

It can be written as a sum of positive squares in 4 ways, for example, as 32454743104 + 69356382736 = 180152^2 + 263356^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101811125797 and 101811125806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1676111 + ... + 1735790.

Almost surely, 2^101811125840 is an apocalyptic number.

101811125840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101811125840 is an abundant number, since it is smaller than the sum of its proper divisors (135534424888).

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

101811125840 is a wasteful number, since it uses less digits than its factorization.

101811125840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412287 (or 3412281 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 32.

The spelling of 101811125840 in words is "one hundred one billion, eight hundred eleven million, one hundred twenty-five thousand, eight hundred forty".