1011222122100 has 288 divisors, whose sum is σ = 3049220837376. Its totient is φ = 258566515200.

The previous prime is 1011222122023. The next prime is 1011222122117. The reversal of 1011222122100 is 12212221101.

1011222122100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 1011222122100.

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, 163176202 + ... + 163182398.

It is an arithmetic number, because the mean of its divisors is an integer number (10587572352).

Almost surely, 2^{1011222122100} is an apocalyptic number.

1011222122100 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 1011222122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524610418688).

1011222122100 is an abundant number, since it is smaller than the sum of its proper divisors (2037998715276).

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

1011222122100 is a wasteful number, since it uses less digits than its factorization.

1011222122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1011222122100 its reverse (12212221101), we get a palindrome (1023434343201).

Subtracting from 1011222122100 its reverse (12212221101), we obtain a palindrome (999009900999).

It can be divided in two parts, 101122 and 2122100, that added together give a palindrome (2223222).

The spelling of 1011222122100 in words is "one trillion, eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".