101534238300 has 288 divisors, whose sum is σ = 335723512320. Its totient is φ = 23451929600.

The previous prime is 101534238271. The next prime is 101534238307. The reversal of 101534238300 is 3832435101.

It is a super-2 number, since 2×101534238300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101534238307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20414614 + ... + 20419586.

It is an arithmetic number, because the mean of its divisors is an integer number (1165706640).

Almost surely, 2^101534238300 is an apocalyptic number.

101534238300 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 101534238300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167861756160).

101534238300 is an abundant number, since it is smaller than the sum of its proper divisors (234189274020).

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

101534238300 is a wasteful number, since it uses less digits than its factorization.

101534238300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 101534238300 in words is "one hundred one billion, five hundred thirty-four million, two hundred thirty-eight thousand, three hundred".