101102255351541 has 64 divisors (see below), whose sum is σ = 150818101493760. Its totient is φ = 66936137728320.

The previous prime is 101102255351527. The next prime is 101102255351593. The reversal of 101102255351541 is 145153552201101.

101102255351541 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 2 + 2 + 553 + 51 + 54 + 1 = 666.

It is not a de Polignac number, because 101102255351541 - 2⁵ = 101102255351509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102255351496 and 101102255351505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102255351521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9761726535 + ... + 9761736891.

It is an arithmetic number, because the mean of its divisors is an integer number (2356532835840).

Almost surely, 2^{101102255351541} is an apocalyptic number.

It is an amenable number.

101102255351541 is a deficient number, since it is larger than the sum of its proper divisors (49715846142219).

101102255351541 is a wasteful number, since it uses less digits than its factorization.

101102255351541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13551 (or 13545 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 101102255351541 in words is "one hundred one trillion, one hundred two billion, two hundred fifty-five million, three hundred fifty-one thousand, five hundred forty-one".