10301222202102 has 192 divisors, whose sum is σ = 25309188113664. Its totient is φ = 3120974271360.

The previous prime is 10301222202049. The next prime is 10301222202119. The reversal of 10301222202102 is 20120222210301.

It is a super-2 number, since 2×10301222202102² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1539560577 + ... + 1539567267.

It is an arithmetic number, because the mean of its divisors is an integer number (131818688092).

Almost surely, 2^{10301222202102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301222202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12654594056832).

10301222202102 is an abundant number, since it is smaller than the sum of its proper divisors (15007965911562).

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

10301222202102 is a wasteful number, since it uses less digits than its factorization.

10301222202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10413 counting only the distinct ones).

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

Adding to 10301222202102 its reverse (20120222210301), we get a palindrome (30421444412403).

The spelling of 10301222202102 in words is "ten trillion, three hundred one billion, two hundred twenty-two million, two hundred two thousand, one hundred two".