101666451000 has 256 divisors, whose sum is σ = 322955942400. Its totient is φ = 26623104000.

The previous prime is 101666450999. The next prime is 101666451001. The reversal of 101666451000 is 154666101.

It is an interprime number because it is at equal distance from previous prime (101666450999) and next prime (101666451001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666451001) 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, 44569860 + ... + 44572140.

It is an arithmetic number, because the mean of its divisors is an integer number (1261546650).

Almost surely, 2^101666451000 is an apocalyptic number.

101666451000 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 101666451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161477971200).

101666451000 is an abundant number, since it is smaller than the sum of its proper divisors (221289491400).

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

101666451000 is a wasteful number, since it uses less digits than its factorization.

101666451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 101666451000 in words is "one hundred one billion, six hundred sixty-six million, four hundred fifty-one thousand".