11010021121200 has 120 divisors (see below), whose sum is σ = 35270227344208. Its totient is φ = 2935884119040.

The previous prime is 11010021121117. The next prime is 11010021121213. The reversal of 11010021121200 is 212112001011.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30942702 + ... + 31296498.

Almost surely, 2^{11010021121200} is an apocalyptic number.

11010021121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010021121200 is an abundant number, since it is smaller than the sum of its proper divisors (24260206223008).

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

11010021121200 is a wasteful number, since it uses less digits than its factorization.

11010021121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379751 (or 379740 counting only the distinct ones).

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

Adding to 11010021121200 its reverse (212112001011), we get a palindrome (11222133122211).

The spelling of 11010021121200 in words is "eleven trillion, ten billion, twenty-one million, one hundred twenty-one thousand, two hundred".