101260267136644 has 96 divisors (see below), whose sum is σ = 222100619231232. Its totient is φ = 39243302544000.

The previous prime is 101260267136569. The next prime is 101260267136723. The reversal of 101260267136644 is 446631762062101.

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 31 ways as a sum of consecutive naturals, for example, 1396599297 + ... + 1396671799.

It is an arithmetic number, because the mean of its divisors is an integer number (2313548116992).

Almost surely, 2^{101260267136644} is an apocalyptic number.

101260267136644 is a gapful number since it is divisible by the number (14) 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 101260267136644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111050309615616).

101260267136644 is an abundant number, since it is smaller than the sum of its proper divisors (120840352094588).

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

101260267136644 is a wasteful number, since it uses less digits than its factorization.

101260267136644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96457 (or 96455 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 101260267136644 in words is "one hundred one trillion, two hundred sixty billion, two hundred sixty-seven million, one hundred thirty-six thousand, six hundred forty-four".