101299429161000 has 1152 divisors, whose sum is σ = 416328704064000. Its totient is φ = 22109152665600.

The previous prime is 101299429160981. The next prime is 101299429161011. The reversal of 101299429161000 is 161924992101.

101299429161000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 9 + 4 + 29 + 1 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6075648664 + ... + 6075665336.

It is an arithmetic number, because the mean of its divisors is an integer number (361396444500).

Almost surely, 2^{101299429161000} is an apocalyptic number.

101299429161000 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 101299429161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208164352032000).

101299429161000 is an abundant number, since it is smaller than the sum of its proper divisors (315029274903000).

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

101299429161000 is a wasteful number, since it uses less digits than its factorization.

101299429161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17336 (or 17312 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 101299429161000 in words is "one hundred one trillion, two hundred ninety-nine billion, four hundred twenty-nine million, one hundred sixty-one thousand".