101013700 has 72 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 37572480.

The previous prime is 101013683. The next prime is 101013713. The reversal of 101013700 is 7310101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84507 + ... + 85693.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^101013700 is an apocalyptic number.

101013700 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 101013700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

101013700 is an abundant number, since it is smaller than the sum of its proper divisors (134096252).

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

101013700 is a wasteful number, since it uses less digits than its factorization.

101013700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 101013700 is about 10050.5571984841. The cubic root of 101013700 is about 465.7220062740.

Adding to 101013700 its reverse (7310101), we get a palindrome (108323801).

The spelling of 101013700 in words is "one hundred one million, thirteen thousand, seven hundred".