10430312122100 has 288 divisors, whose sum is σ = 25978458105600. Its totient is φ = 3603112243200.

The previous prime is 10430312122099. The next prime is 10430312122121. The reversal of 10430312122100 is 122121303401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 837299072 + ... + 837311528.

Almost surely, 2^{10430312122100} is an apocalyptic number.

10430312122100 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 10430312122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989229052800).

10430312122100 is an abundant number, since it is smaller than the sum of its proper divisors (15548145983500).

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

10430312122100 is a wasteful number, since it uses less digits than its factorization.

10430312122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12923 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10430312122100 its reverse (122121303401), we get a palindrome (10552433425501).

The spelling of 10430312122100 in words is "ten trillion, four hundred thirty billion, three hundred twelve million, one hundred twenty-two thousand, one hundred".