101007412006461 has 8 divisors (see below), whose sum is σ = 137217616310880. Its totient is φ = 66067741186512.

The previous prime is 101007412006381. The next prime is 101007412006469. The reversal of 101007412006461 is 164600214700101.

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

It is not a de Polignac number, because 101007412006461 - 2²⁷ = 101007277788733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101007412006469) 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, 317633370931 + ... + 317633371248.

It is an arithmetic number, because the mean of its divisors is an integer number (17152202038860).

Almost surely, 2^{101007412006461} is an apocalyptic number.

It is an amenable number.

101007412006461 is a deficient number, since it is larger than the sum of its proper divisors (36210204304419).

101007412006461 is an equidigital number, since it uses as much as digits as its factorization.

101007412006461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635266742235.

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 101007412006461 its reverse (164600214700101), we get a palindrome (265607626706562).

The spelling of 101007412006461 in words is "one hundred one trillion, seven billion, four hundred twelve million, six thousand, four hundred sixty-one".