101020287671712 has 144 divisors (see below), whose sum is σ = 296891095108608. Its totient is φ = 32548984081920.

The previous prime is 101020287671627. The next prime is 101020287671713. The reversal of 101020287671712 is 217176782020101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (101020287671713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983113 + ... + 14248055.

It is an arithmetic number, because the mean of its divisors is an integer number (2061743716032).

Almost surely, 2^{101020287671712} is an apocalyptic number.

101020287671712 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 101020287671712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148445547554304).

101020287671712 is an abundant number, since it is smaller than the sum of its proper divisors (195870807436896).

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

101020287671712 is a wasteful number, since it uses less digits than its factorization.

101020287671712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265843 (or 13265832 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 101020287671712 in words is "one hundred one trillion, twenty billion, two hundred eighty-seven million, six hundred seventy-one thousand, seven hundred twelve".