101372688401280 has 256 divisors, whose sum is σ = 341923322096640. Its totient is φ = 25493192130560.

The previous prime is 101372688401267. The next prime is 101372688401287. The reversal of 101372688401280 is 82104886273101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101372688401287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13030677 + ... + 19301396.

It is an arithmetic number, because the mean of its divisors is an integer number (1335637976940).

Almost surely, 2^{101372688401280} is an apocalyptic number.

101372688401280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101372688401280 is an abundant number, since it is smaller than the sum of its proper divisors (240550633695360).

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

101372688401280 is a wasteful number, since it uses less digits than its factorization.

101372688401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32332189 (or 32332177 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 101372688401280 in words is "one hundred one trillion, three hundred seventy-two billion, six hundred eighty-eight million, four hundred one thousand, two hundred eighty".