1100102101020 has 336 divisors, whose sum is σ = 3926516459040. Its totient is φ = 256541188608.

The previous prime is 1100102100941. The next prime is 1100102101051. The reversal of 1100102101020 is 201012010011.

It is a happy number.

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 = 1100102100993 and 1100102101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3448522 + ... + 3753998.

It is an arithmetic number, because the mean of its divisors is an integer number (11686060890).

Almost surely, 2^{1100102101020} is an apocalyptic number.

1100102101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100102101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963258229520).

1100102101020 is an abundant number, since it is smaller than the sum of its proper divisors (2826414358020).

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

1100102101020 is a wasteful number, since it uses less digits than its factorization.

1100102101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305536 (or 305519 counting only the distinct ones).

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

Adding to 1100102101020 its reverse (201012010011), we get a palindrome (1301114111031).

The spelling of 1100102101020 in words is "one trillion, one hundred billion, one hundred two million, one hundred one thousand, twenty".