1020100001100 has 72 divisors (see below), whose sum is σ = 3031259351568. Its totient is φ = 264674592000.

The previous prime is 1020100001099. The next prime is 1020100001101. The reversal of 1020100001100 is 11000010201.

It is an interprime number because it is at equal distance from previous prime (1020100001099) and next prime (1020100001101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1020100001101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45939351 + ... + 45961550.

Almost surely, 2^{1020100001100} is an apocalyptic number.

1020100001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100001100 is an abundant number, since it is smaller than the sum of its proper divisors (2011159350468).

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

1020100001100 is a wasteful number, since it uses less digits than its factorization.

1020100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91900955 (or 91900948 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1020100001100 its reverse (11000010201), we get a palindrome (1031100011301).

The spelling of 1020100001100 in words is "one trillion, twenty billion, one hundred million, one thousand, one hundred".