10202123010222 has 256 divisors, whose sum is σ = 27865108131840. Its totient is φ = 2724896332800.

The previous prime is 10202123010221. The next prime is 10202123010223. The reversal of 10202123010222 is 22201032120201.

10202123010222 is a `hidden beast` number, since 1 + 0 + 202 + 1 + 230 + 10 + 222 = 666.

10202123010222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10202123010221) and next prime (10202123010223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202123010195 and 10202123010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202123010221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14537488 + ... + 15223100.

It is an arithmetic number, because the mean of its divisors is an integer number (108848078640).

Almost surely, 2^{10202123010222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202123010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932554065920).

10202123010222 is an abundant number, since it is smaller than the sum of its proper divisors (17662985121618).

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

10202123010222 is a wasteful number, since it uses less digits than its factorization.

10202123010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685736 (or 685730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10202123010222 its reverse (22201032120201), we get a palindrome (32403155130423).

The spelling of 10202123010222 in words is "ten trillion, two hundred two billion, one hundred twenty-three million, ten thousand, two hundred twenty-two".