101255173072100 has 36 divisors (see below), whose sum is σ = 232648650603684. Its totient is φ = 38119594567680.

The previous prime is 101255173072093. The next prime is 101255173072127. The reversal of 101255173072100 is 1270371552101.

It can be written as a sum of positive squares in 6 ways, for example, as 2133077776036 + 99122095296064 = 1460506^2 + 9956008^2 .

It is a super-2 number, since 2×101255173072100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29780931557 + ... + 29780934956.

It is an arithmetic number, because the mean of its divisors is an integer number (6462462516769).

Almost surely, 2^{101255173072100} is an apocalyptic number.

101255173072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101255173072100 is an abundant number, since it is smaller than the sum of its proper divisors (131393477531584).

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

101255173072100 is a wasteful number, since it uses less digits than its factorization.

101255173072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59561866544 (or 59561866537 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 35.

The spelling of 101255173072100 in words is "one hundred one trillion, two hundred fifty-five billion, one hundred seventy-three million, seventy-two thousand, one hundred".