101010700 has 72 divisors (see below), whose sum is σ = 252921312. Its totient is φ = 34298880.

The previous prime is 101010691. The next prime is 101010709. The reversal of 101010700 is 7010101.

It is an interprime number because it is at equal distance from previous prime (101010691) and next prime (101010709).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101010709) 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, 78462 + ... + 79738.

It is an arithmetic number, because the mean of its divisors is an integer number (3512796).

Almost surely, 2^101010700 is an apocalyptic number.

101010700 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 101010700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126460656).

101010700 is an abundant number, since it is smaller than the sum of its proper divisors (151910612).

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

101010700 is a wasteful number, since it uses less digits than its factorization.

101010700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 101010700 is about 10050.4079519192. The cubic root of 101010700 is about 465.7173957448.

Adding to 101010700 its reverse (7010101), we get a palindrome (108020801).

The spelling of 101010700 in words is "one hundred one million, ten thousand, seven hundred".