10011102101220 has 384 divisors, whose sum is σ = 31553106923520. Its totient is φ = 2350298142720.

The previous prime is 10011102101219. The next prime is 10011102101243. The reversal of 10011102101220 is 2210120111001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011102101196 and 10011102101205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6488075769 + ... + 6488077311.

It is an arithmetic number, because the mean of its divisors is an integer number (82169549280).

Almost surely, 2^{10011102101220} is an apocalyptic number.

10011102101220 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 10011102101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776553461760).

10011102101220 is an abundant number, since it is smaller than the sum of its proper divisors (21542004822300).

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

10011102101220 is a wasteful number, since it uses less digits than its factorization.

10011102101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2673 counting only the distinct ones).

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

Adding to 10011102101220 its reverse (2210120111001), we get a palindrome (12221222212221).

The spelling of 10011102101220 in words is "ten trillion, eleven billion, one hundred two million, one hundred one thousand, two hundred twenty".