101421133000 has 256 divisors, whose sum is σ = 280527287040. Its totient is φ = 33901056000.

The previous prime is 101421132959. The next prime is 101421133007. The reversal of 101421133000 is 331124101.

It is not an unprimeable number, because it can be changed into a prime (101421133007) 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, 8034694 + ... + 8047306.

It is an arithmetic number, because the mean of its divisors is an integer number (1095809715).

Almost surely, 2^101421133000 is an apocalyptic number.

101421133000 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 101421133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140263643520).

101421133000 is an abundant number, since it is smaller than the sum of its proper divisors (179106154040).

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

101421133000 is a wasteful number, since it uses less digits than its factorization.

101421133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12691 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101421133000 its reverse (331124101), we get a palindrome (101752257101).

The spelling of 101421133000 in words is "one hundred one billion, four hundred twenty-one million, one hundred thirty-three thousand".