11101012000 has 96 divisors (see below), whose sum is σ = 29373415344. Its totient is φ = 4098816000.

The previous prime is 11101011997. The next prime is 11101012003. The reversal of 11101012000 is 21010111.

It is an interprime number because it is at equal distance from previous prime (11101011997) and next prime (11101012003).

It can be written as a sum of positive squares in 8 ways, for example, as 49956624 + 11051055376 = 7068^2 + 105124^2 .

It is not an unprimeable number, because it can be changed into a prime (11101012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54741 + ... + 158740.

Almost surely, 2^11101012000 is an apocalyptic number.

11101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101012000 is an abundant number, since it is smaller than the sum of its proper divisors (18272403344).

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

11101012000 is a wasteful number, since it uses less digits than its factorization.

11101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213519 (or 213501 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11101012000 its reverse (21010111), we get a palindrome (11122022111).

The spelling of 11101012000 in words is "eleven billion, one hundred one million, twelve thousand".