11200111022100 has 1152 divisors, whose sum is σ = 46227841228800. Its totient is φ = 2018077286400.

The previous prime is 11200111022081. The next prime is 11200111022119. The reversal of 11200111022100 is 122011100211.

It is an interprime number because it is at equal distance from previous prime (11200111022081) and next prime (11200111022119).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 322204521 + ... + 322239279.

It is an arithmetic number, because the mean of its divisors is an integer number (40128334400).

Almost surely, 2^{11200111022100} is an apocalyptic number.

11200111022100 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 11200111022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113920614400).

11200111022100 is an abundant number, since it is smaller than the sum of its proper divisors (35027730206700).

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

11200111022100 is a wasteful number, since it uses less digits than its factorization.

11200111022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34873 (or 34866 counting only the distinct ones).

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

Adding to 11200111022100 its reverse (122011100211), we get a palindrome (11322122122311).

The spelling of 11200111022100 in words is "eleven trillion, two hundred billion, one hundred eleven million, twenty-two thousand, one hundred".