10200403213000 has 768 divisors, whose sum is σ = 33990801062400. Its totient is φ = 2780262144000.

The previous prime is 10200403212949. The next prime is 10200403213043. The reversal of 10200403213000 is 31230400201.

It is a happy number.

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, 209184622 + ... + 209233378.

It is an arithmetic number, because the mean of its divisors is an integer number (44258855550).

Almost surely, 2^{10200403213000} is an apocalyptic number.

10200403213000 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 10200403213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995400531200).

10200403213000 is an abundant number, since it is smaller than the sum of its proper divisors (23790397849400).

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

10200403213000 is a wasteful number, since it uses less digits than its factorization.

10200403213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48839 (or 48814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10200403213000 its reverse (31230400201), we get a palindrome (10231633613201).

The spelling of 10200403213000 in words is "ten trillion, two hundred billion, four hundred three million, two hundred thirteen thousand".