10101022110102 has 256 divisors, whose sum is σ = 25985041367040. Its totient is φ = 2542031424000.

The previous prime is 10101022110083. The next prime is 10101022110131. The reversal of 10101022110102 is 20101122010101.

It is a super-2 number, since 2×10101022110102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 613923708 + ... + 613940160.

It is an arithmetic number, because the mean of its divisors is an integer number (101504067840).

Almost surely, 2^{10101022110102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101022110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992520683520).

10101022110102 is an abundant number, since it is smaller than the sum of its proper divisors (15884019256938).

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

10101022110102 is a wasteful number, since it uses less digits than its factorization.

10101022110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16859.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101022110102 its reverse (20101122010101), we get a palindrome (30202144120203).

The spelling of 10101022110102 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred ten thousand, one hundred two".