1102011010020 has 144 divisors (see below), whose sum is σ = 3579169492080. Its totient is φ = 273475411968.

The previous prime is 1102011009977. The next prime is 1102011010021. The reversal of 1102011010020 is 200101102011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 128323584 + 1101882686436 = 11328^2 + 1049706^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1102011009984 and 1102011010011.

It is not an unprimeable number, because it can be changed into a prime (1102011010021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750887 + ... + 2295566.

It is an arithmetic number, because the mean of its divisors is an integer number (24855343695).

Almost surely, 2^{1102011010020} is an apocalyptic number.

1102011010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102011010020 is an abundant number, since it is smaller than the sum of its proper divisors (2477158482060).

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

1102011010020 is a wasteful number, since it uses less digits than its factorization.

1102011010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046574 (or 4046569 counting only the distinct ones).

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

Adding to 1102011010020 its reverse (200101102011), we get a palindrome (1302112112031).

The spelling of 1102011010020 in words is "one trillion, one hundred two billion, eleven million, ten thousand, twenty".