101266351872 has 576 divisors, whose sum is σ = 343596072960. Its totient is φ = 25830604800.

The previous prime is 101266351853. The next prime is 101266351883. The reversal of 101266351872 is 278153662101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 111159097 + ... + 111160007.

It is an arithmetic number, because the mean of its divisors is an integer number (596520960).

Almost surely, 2^101266351872 is an apocalyptic number.

101266351872 is a gapful number since it is divisible by the number (12) 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 101266351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171798036480).

101266351872 is an abundant number, since it is smaller than the sum of its proper divisors (242329721088).

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

101266351872 is a wasteful number, since it uses less digits than its factorization.

101266351872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 101266351872 in words is "one hundred one billion, two hundred sixty-six million, three hundred fifty-one thousand, eight hundred seventy-two".