101052265000 has 160 divisors (see below), whose sum is σ = 240663119400. Its totient is φ = 39761280000.

The previous prime is 101052264991. The next prime is 101052265009. The reversal of 101052265000 is 562250101.

It is an interprime number because it is at equal distance from previous prime (101052264991) and next prime (101052265009).

It can be written as a sum of positive squares in 20 ways, for example, as 17961896484 + 83090368516 = 134022^2 + 288254^2 .

It is not an unprimeable number, because it can be changed into a prime (101052265009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85564410 + ... + 85565590.

Almost surely, 2^101052265000 is an apocalyptic number.

101052265000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101052265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120331559700).

101052265000 is an abundant number, since it is smaller than the sum of its proper divisors (139610854400).

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

101052265000 is a wasteful number, since it uses less digits than its factorization.

101052265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 101052265000 in words is "one hundred one billion, fifty-two million, two hundred sixty-five thousand".