101687242800 has 480 divisors, whose sum is σ = 391613435136. Its totient is φ = 22224384000.

The previous prime is 101687242771. The next prime is 101687242807. The reversal of 101687242800 is 8242786101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (101687242807) 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, 7371910 + ... + 7385690.

Almost surely, 2^101687242800 is an apocalyptic number.

101687242800 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 101687242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195806717568).

101687242800 is an abundant number, since it is smaller than the sum of its proper divisors (289926192336).

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

101687242800 is a wasteful number, since it uses less digits than its factorization.

101687242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13869 (or 13858 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 101687242800 in words is "one hundred one billion, six hundred eighty-seven million, two hundred forty-two thousand, eight hundred".