101007412006460 has 12 divisors (see below), whose sum is σ = 212115565213608. Its totient is φ = 40402964802576.

The previous prime is 101007412006381. The next prime is 101007412006469. The reversal of 101007412006460 is 64600214700101.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525185300142 + ... + 2525185300181.

It is an arithmetic number, because the mean of its divisors is an integer number (17676297101134).

Almost surely, 2^{101007412006460} is an apocalyptic number.

101007412006460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101007412006460 is an abundant number, since it is smaller than the sum of its proper divisors (111108153207148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101007412006460 is a wasteful number, since it uses less digits than its factorization.

101007412006460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050370600332 (or 5050370600330 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 101007412006460 its reverse (64600214700101), we get a palindrome (165607626706561).

The spelling of 101007412006460 in words is "one hundred one trillion, seven billion, four hundred twelve million, six thousand, four hundred sixty".