10203142210000 has 300 divisors, whose sum is σ = 25817654065500. Its totient is φ = 3900377600000.

The previous prime is 10203142209983. The next prime is 10203142210013. The reversal of 10203142210000 is 1224130201.

It can be written as a sum of positive squares in 30 ways, for example, as 10185059491216 + 18082718784 = 3191404^2 + 134472^2 .

It is a super-2 number, since 2×10203142210000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2958288276 + ... + 2958291724.

It is an arithmetic number, because the mean of its divisors is an integer number (86058846885).

Almost surely, 2^{10203142210000} is an apocalyptic number.

10203142210000 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 10203142210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908827032750).

10203142210000 is an abundant number, since it is smaller than the sum of its proper divisors (15614511855500).

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

10203142210000 is an equidigital number, since it uses as much as digits as its factorization.

10203142210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10203142210000 its reverse (1224130201), we get a palindrome (10204366340201).

The spelling of 10203142210000 in words is "ten trillion, two hundred three billion, one hundred forty-two million, two hundred ten thousand".