11102020101000 has 96 divisors (see below), whose sum is σ = 37524827971800. Its totient is φ = 2960538691200.

The previous prime is 11102020100959. The next prime is 11102020101041. The reversal of 11102020101000 is 10102020111.

It is a happy number.

11102020101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102020100959) and next prime (11102020101041).

It can be written as a sum of positive squares in 4 ways, for example, as 1343981127204 + 9758038973796 = 1159302^2 + 3123786^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 616769895 + ... + 616787894.

Almost surely, 2^{11102020101000} is an apocalyptic number.

11102020101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102020101000 is an abundant number, since it is smaller than the sum of its proper divisors (26422807870800).

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

11102020101000 is a wasteful number, since it uses less digits than its factorization.

11102020101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233557816 (or 1233557799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102020101000 its reverse (10102020111), we get a palindrome (11112122121111).

The spelling of 11102020101000 in words is "eleven trillion, one hundred two billion, twenty million, one hundred one thousand".