101019250260 has 72 divisors (see below), whose sum is σ = 309400116480. Its totient is φ = 26676923328.

The previous prime is 101019250253. The next prime is 101019250261. The reversal of 101019250260 is 62052910101.

101019250260 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 92 + 502 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101019250261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2705820 + ... + 2742899.

It is an arithmetic number, because the mean of its divisors is an integer number (4297223840).

Almost surely, 2^101019250260 is an apocalyptic number.

101019250260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101019250260 is an abundant number, since it is smaller than the sum of its proper divisors (208380866220).

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

101019250260 is a wasteful number, since it uses less digits than its factorization.

101019250260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448837 (or 5448832 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 101019250260 in words is "one hundred one billion, nineteen million, two hundred fifty thousand, two hundred sixty".