101620144436055 has 96 divisors (see below), whose sum is σ = 190596604290048. Its totient is φ = 46096700832000.

The previous prime is 101620144436029. The next prime is 101620144436123. The reversal of 101620144436055 is 550634441026101.

It is not a de Polignac number, because 101620144436055 - 2⁶ = 101620144435991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101620144435998 and 101620144436016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1523484205 + ... + 1523550905.

It is an arithmetic number, because the mean of its divisors is an integer number (1985381294688).

Almost surely, 2^{101620144436055} is an apocalyptic number.

101620144436055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101620144436055 is a deficient number, since it is larger than the sum of its proper divisors (88976459853993).

101620144436055 is a wasteful number, since it uses less digits than its factorization.

101620144436055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82677 (or 82670 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 101620144436055 in words is "one hundred one trillion, six hundred twenty billion, one hundred forty-four million, four hundred thirty-six thousand, fifty-five".