101145221527477 has 6 divisors (see below), whose sum is σ = 107444923906658. Its totient is φ = 95195502613824.

The previous prime is 101145221527457. The next prime is 101145221527507. The reversal of 101145221527477 is 774725122541101.

It can be written as a sum of positive squares in 3 ways, for example, as 41638098712081 + 59507122815396 = 6452759^2 + 7714086^2 .

It is not a de Polignac number, because 101145221527477 - 2²³ = 101145213138869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101145221527477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101145221527457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174991732458 + ... + 174991733035.

Almost surely, 2^{101145221527477} is an apocalyptic number.

101145221527477 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101145221527477 is a deficient number, since it is larger than the sum of its proper divisors (6299702379181).

101145221527477 is an equidigital number, since it uses as much as digits as its factorization.

101145221527477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349983465527 (or 349983465510 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 49.

The spelling of 101145221527477 in words is "one hundred one trillion, one hundred forty-five billion, two hundred twenty-one million, five hundred twenty-seven thousand, four hundred seventy-seven".