11012211022100 has 18 divisors (see below), whose sum is σ = 23896497918174. Its totient is φ = 4404884408800.

The previous prime is 11012211022097. The next prime is 11012211022103. The reversal of 11012211022100 is 122011221011.

It is an interprime number because it is at equal distance from previous prime (11012211022097) and next prime (11012211022103).

It can be written as a sum of positive squares in 3 ways, for example, as 371032047376 + 10641178974724 = 609124^2 + 3262082^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012211022103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55061055011 + ... + 55061055210.

Almost surely, 2^{11012211022100} is an apocalyptic number.

11012211022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012211022100 is an abundant number, since it is smaller than the sum of its proper divisors (12884286896074).

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

11012211022100 is a wasteful number, since it uses less digits than its factorization.

11012211022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110122110235 (or 110122110228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11012211022100 its reverse (122011221011), we get a palindrome (11134222243111).

The spelling of 11012211022100 in words is "eleven trillion, twelve billion, two hundred eleven million, twenty-two thousand, one hundred".