101661112410 has 128 divisors (see below), whose sum is σ = 289863463680. Its totient is φ = 22493644800.

The previous prime is 101661112409. The next prime is 101661112411. The reversal of 101661112410 is 14211166101.

101661112410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101661112409) and next prime (101661112411).

It is not an unprimeable number, because it can be changed into a prime (101661112411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248680 + ... + 514940.

It is an arithmetic number, because the mean of its divisors is an integer number (2264558310).

Almost surely, 2^101661112410 is an apocalyptic number.

101661112410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101661112410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144931731840).

101661112410 is an abundant number, since it is smaller than the sum of its proper divisors (188202351270).

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

101661112410 is a wasteful number, since it uses less digits than its factorization.

101661112410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266384.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 101661112410 its reverse (14211166101), we get a palindrome (115872278511).

The spelling of 101661112410 in words is "one hundred one billion, six hundred sixty-one million, one hundred twelve thousand, four hundred ten".