101561530406200 has 288 divisors, whose sum is σ = 245753167196880. Its totient is φ = 39031263744000.

The previous prime is 101561530406173. The next prime is 101561530406239. The reversal of 101561530406200 is 2604035165101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29293776867 + ... + 29293780333.

Almost surely, 2^{101561530406200} is an apocalyptic number.

101561530406200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101561530406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122876583598440).

101561530406200 is an abundant number, since it is smaller than the sum of its proper divisors (144191636790680).

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

101561530406200 is a wasteful number, since it uses less digits than its factorization.

101561530406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 101561530406200 in words is "one hundred one trillion, five hundred sixty-one billion, five hundred thirty million, four hundred six thousand, two hundred".