10101147792461 has 8 divisors (see below), whose sum is σ = 11020490695200. Its totient is φ = 9181981013040.

The previous prime is 10101147792409. The next prime is 10101147792523. The reversal of 10101147792461 is 16429774110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10101147792461 - 2¹⁰ = 10101147791437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101147792401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43910891 + ... + 44140328.

It is an arithmetic number, because the mean of its divisors is an integer number (1377561336900).

Almost surely, 2^{10101147792461} is an apocalyptic number.

10101147792461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101147792461 is a deficient number, since it is larger than the sum of its proper divisors (919342902739).

10101147792461 is a wasteful number, since it uses less digits than its factorization.

10101147792461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88061659.

The product of its (nonzero) digits is 84672, while the sum is 44.

The spelling of 10101147792461 in words is "ten trillion, one hundred one billion, one hundred forty-seven million, seven hundred ninety-two thousand, four hundred sixty-one".