101294192945712 has 160 divisors (see below), whose sum is σ = 291162349305856. Its totient is φ = 30134440627200.

The previous prime is 101294192945707. The next prime is 101294192945767. The reversal of 101294192945712 is 217549291492101.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18747537 + ... + 23538447.

Almost surely, 2^{101294192945712} is an apocalyptic number.

101294192945712 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 101294192945712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145581174652928).

101294192945712 is an abundant number, since it is smaller than the sum of its proper divisors (189868156360144).

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

101294192945712 is a wasteful number, since it uses less digits than its factorization.

101294192945712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792059 (or 4792053 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 101294192945712 in words is "one hundred one trillion, two hundred ninety-four billion, one hundred ninety-two million, nine hundred forty-five thousand, seven hundred twelve".