101261243200 has 84 divisors (see below), whose sum is σ = 268332612940. Its totient is φ = 37388759040.

The previous prime is 101261243197. The next prime is 101261243201. The reversal of 101261243200 is 2342162101.

It can be written as a sum of positive squares in 6 ways, for example, as 6510553344 + 94750689856 = 80688^2 + 307816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101261243201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2413365 + ... + 2454964.

Almost surely, 2^101261243200 is an apocalyptic number.

101261243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101261243200 is an abundant number, since it is smaller than the sum of its proper divisors (167071369740).

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

101261243200 is a wasteful number, since it uses less digits than its factorization.

101261243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868364 (or 4868349 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 101261243200 in words is "one hundred one billion, two hundred sixty-one million, two hundred forty-three thousand, two hundred".