101481657627077 has 32 divisors (see below), whose sum is σ = 132298873862400. Its totient is φ = 75540746400768.

The previous prime is 101481657627067. The next prime is 101481657627083. The reversal of 101481657627077 is 770726756184101.

It is a cyclic number.

It is not a de Polignac number, because 101481657627077 - 2⁶ = 101481657627013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101481657627037) 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, 8728202 + ... + 16707627.

It is an arithmetic number, because the mean of its divisors is an integer number (4134339808200).

Almost surely, 2^{101481657627077} is an apocalyptic number.

101481657627077 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101481657627077 is a deficient number, since it is larger than the sum of its proper divisors (30817216235323).

101481657627077 is a wasteful number, since it uses less digits than its factorization.

101481657627077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25438445.

The product of its (nonzero) digits is 27659520, while the sum is 62.

The spelling of 101481657627077 in words is "one hundred one trillion, four hundred eighty-one billion, six hundred fifty-seven million, six hundred twenty-seven thousand, seventy-seven".