10200122100213 has 8 divisors (see below), whose sum is σ = 13602871476576. Its totient is φ = 6798727062000.

The previous prime is 10200122100167. The next prime is 10200122100241. The reversal of 10200122100213 is 31200122100201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10200122100213 - 2¹⁴ = 10200122083829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200122100192 and 10200122100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200122100313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338566963 + ... + 338597088.

It is an arithmetic number, because the mean of its divisors is an integer number (1700358934572).

Almost surely, 2^{10200122100213} is an apocalyptic number.

It is an amenable number.

10200122100213 is a deficient number, since it is larger than the sum of its proper divisors (3402749376363).

10200122100213 is an equidigital number, since it uses as much as digits as its factorization.

10200122100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677169075.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10200122100213 its reverse (31200122100201), we get a palindrome (41400244200414).

The spelling of 10200122100213 in words is "ten trillion, two hundred billion, one hundred twenty-two million, one hundred thousand, two hundred thirteen".