11210121001000 has 64 divisors (see below), whose sum is σ = 26726620686480. Its totient is φ = 4399443692800.

The previous prime is 11210121000943. The next prime is 11210121001087. The reversal of 11210121001000 is 10012101211.

It can be written as a sum of positive squares in 8 ways, for example, as 737272953316 + 10472848047684 = 858646^2 + 3236178^2 .

It is a super-2 number, since 2×11210121001000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105702859 + ... + 105808858.

Almost surely, 2^{11210121001000} is an apocalyptic number.

11210121001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210121001000 is an abundant number, since it is smaller than the sum of its proper divisors (15516499685480).

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

11210121001000 is a wasteful number, since it uses less digits than its factorization.

11210121001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211511791 (or 211511777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11210121001000 its reverse (10012101211), we get a palindrome (11220133102211).

The spelling of 11210121001000 in words is "eleven trillion, two hundred ten billion, one hundred twenty-one million, one thousand".