101633149541 has 12 divisors (see below), whose sum is σ = 128974164480. Its totient is φ = 79194661560.

The previous prime is 101633149511. The next prime is 101633149543. The reversal of 101633149541 is 145941336101.

It is a de Polignac number, because none of the positive numbers 2^k-101633149541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101633149495 and 101633149504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101633149543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94278821 + ... + 94279898.

It is an arithmetic number, because the mean of its divisors is an integer number (10747847040).

Almost surely, 2^101633149541 is an apocalyptic number.

101633149541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101633149541 is a deficient number, since it is larger than the sum of its proper divisors (27341014939).

101633149541 is a wasteful number, since it uses less digits than its factorization.

101633149541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188558744 (or 188558737 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 101633149541 in words is "one hundred one billion, six hundred thirty-three million, one hundred forty-nine thousand, five hundred forty-one".