10101212210100 has 288 divisors, whose sum is σ = 33783447720960. Its totient is φ = 2304529920000.

The previous prime is 10101212210099. The next prime is 10101212210123. The reversal of 10101212210100 is 101221210101.

It is a super-2 number, since 2×10101212210100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8934244 + ... + 10001156.

It is an arithmetic number, because the mean of its divisors is an integer number (117303637920).

Almost surely, 2^{10101212210100} is an apocalyptic number.

10101212210100 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 10101212210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891723860480).

10101212210100 is an abundant number, since it is smaller than the sum of its proper divisors (23682235510860).

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

10101212210100 is a wasteful number, since it uses less digits than its factorization.

10101212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067111 (or 1067104 counting only the distinct ones).

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

Adding to 10101212210100 its reverse (101221210101), we get a palindrome (10202433420201).

Subtracting from 10101212210100 its reverse (101221210101), we obtain a palindrome (9999990999999).

The spelling of 10101212210100 in words is "ten trillion, one hundred one billion, two hundred twelve million, two hundred ten thousand, one hundred".