101257100 has 144 divisors (see below), whose sum is σ = 271982592. Its totient is φ = 31933440.

The previous prime is 101257097. The next prime is 101257141. The reversal of 101257100 is 1752101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 797237 + ... + 797363.

It is an arithmetic number, because the mean of its divisors is an integer number (1888768).

Almost surely, 2^101257100 is an apocalyptic number.

101257100 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 101257100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135991296).

101257100 is an abundant number, since it is smaller than the sum of its proper divisors (170725492).

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

101257100 is a wasteful number, since it uses less digits than its factorization.

101257100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 101257100 is about 10062.6586944008. The cubic root of 101257100 is about 466.0957701327.

The spelling of 101257100 in words is "one hundred one million, two hundred fifty-seven thousand, one hundred".