101400216461 has 8 divisors (see below), whose sum is σ = 101633316480. Its totient is φ = 101167178112.

The previous prime is 101400216457. The next prime is 101400216479. The reversal of 101400216461 is 164612004101.

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

It is a cyclic number.

It is not a de Polignac number, because 101400216461 - 2² = 101400216457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101400216461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400212461) 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, 5444381 + ... + 5462973.

It is an arithmetic number, because the mean of its divisors is an integer number (12704164560).

Almost surely, 2^101400216461 is an apocalyptic number.

It is an amenable number.

101400216461 is a deficient number, since it is larger than the sum of its proper divisors (233100019).

101400216461 is a wasteful number, since it uses less digits than its factorization.

101400216461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30835.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 101400216461 in words is "one hundred one billion, four hundred million, two hundred sixteen thousand, four hundred sixty-one".