10101211211120 has 80 divisors (see below), whose sum is σ = 23903271923040. Its totient is φ = 3968692224000.

The previous prime is 10101211211111. The next prime is 10101211211129. The reversal of 10101211211120 is 2111211210101.

It is an interprime number because it is at equal distance from previous prime (10101211211111) and next prime (10101211211129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10101211211095 and 10101211211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101211211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4777760 + ... + 6559680.

It is an arithmetic number, because the mean of its divisors is an integer number (298790899038).

Almost surely, 2^{10101211211120} is an apocalyptic number.

10101211211120 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 10101211211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951635961520).

10101211211120 is an abundant number, since it is smaller than the sum of its proper divisors (13802060711920).

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

10101211211120 is a wasteful number, since it uses less digits than its factorization.

10101211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783194 (or 1783188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10101211211120 its reverse (2111211210101), we get a palindrome (12212422421221).

The spelling of 10101211211120 in words is "ten trillion, one hundred one billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".