101025700 has 36 divisors (see below), whose sum is σ = 222954480. Its totient is φ = 39723040.

The previous prime is 101025697. The next prime is 101025703. The reversal of 101025700 is 7520101.

It is an interprime number because it is at equal distance from previous prime (101025697) and next prime (101025703).

It is a super-3 number, since 3×101025700³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101025703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662 + ... + 14461.

It is an arithmetic number, because the mean of its divisors is an integer number (6193180).

Almost surely, 2^101025700 is an apocalyptic number.

101025700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101025700 is an abundant number, since it is smaller than the sum of its proper divisors (121928780).

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

101025700 is a wasteful number, since it uses less digits than its factorization.

101025700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17196 (or 17189 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 101025700 is about 10051.1541625825. The cubic root of 101025700 is about 465.7404474782.

Adding to 101025700 its reverse (7520101), we get a palindrome (108545801).

The spelling of 101025700 in words is "one hundred one million, twenty-five thousand, seven hundred".