10101121213110 has 128 divisors (see below), whose sum is σ = 26193001881600. Its totient is φ = 2487568366080.

The previous prime is 10101121213097. The next prime is 10101121213133. The reversal of 10101121213110 is 1131212110101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10101121213110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760086 + ... + 4558505.

It is an arithmetic number, because the mean of its divisors is an integer number (204632827200).

Almost surely, 2^{10101121213110} is an apocalyptic number.

10101121213110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101121213110 is an abundant number, since it is smaller than the sum of its proper divisors (16091880668490).

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

10101121213110 is a wasteful number, since it uses less digits than its factorization.

10101121213110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318726.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10101121213110 its reverse (1131212110101), we get a palindrome (11232333323211).

It can be divided in two parts, 1010112 and 1213110, that added together give a palindrome (2223222).

The spelling of 10101121213110 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred ten".