101023413012000 has 1152 divisors, whose sum is σ = 368391127942656. Its totient is φ = 26210688000000.

The previous prime is 101023413011993. The next prime is 101023413012019. The reversal of 101023413012000 is 210314320101.

101023413012000 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 341 + 301 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126754595602 + ... + 126754596398.

It is an arithmetic number, because the mean of its divisors is an integer number (319783965228).

Almost surely, 2^{101023413012000} is an apocalyptic number.

101023413012000 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 101023413012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184195563971328).

101023413012000 is an abundant number, since it is smaller than the sum of its proper divisors (267367714930656).

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

101023413012000 is a wasteful number, since it uses less digits than its factorization.

101023413012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101023413012000 its reverse (210314320101), we get a palindrome (101233727332101).

The spelling of 101023413012000 in words is "one hundred one trillion, twenty-three billion, four hundred thirteen million, twelve thousand".