101012211111120 has 320 divisors, whose sum is σ = 322904771343360. Its totient is φ = 26102393856000.

The previous prime is 101012211111113. The next prime is 101012211111127. The reversal of 101012211111120 is 21111112210101.

It is an interprime number because it is at equal distance from previous prime (101012211111113) and next prime (101012211111127).

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 101012211111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012211111127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10202218170 + ... + 10202228070.

It is an arithmetic number, because the mean of its divisors is an integer number (1009077410448).

Almost surely, 2^{101012211111120} is an apocalyptic number.

101012211111120 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 101012211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161452385671680).

101012211111120 is an abundant number, since it is smaller than the sum of its proper divisors (221892560232240).

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

101012211111120 is a wasteful number, since it uses less digits than its factorization.

101012211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494 (or 14488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101012211111120 its reverse (21111112210101), we get a palindrome (122123323321221).

The spelling of 101012211111120 in words is "one hundred one trillion, twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".