101012416661200 has 60 divisors (see below), whose sum is σ = 264744361133568. Its totient is φ = 36731787875200.

The previous prime is 101012416661147. The next prime is 101012416661207. The reversal of 101012416661200 is 2166614210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012416661207) 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, 11478679312 + ... + 11478688111.

Almost surely, 2^{101012416661200} is an apocalyptic number.

101012416661200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012416661200 is an abundant number, since it is smaller than the sum of its proper divisors (163731944472368).

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

101012416661200 is a wasteful number, since it uses less digits than its factorization.

101012416661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22957367452 (or 22957367441 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 101012416661200 in words is "one hundred one trillion, twelve billion, four hundred sixteen million, six hundred sixty-one thousand, two hundred".