20111010020100 has 54 divisors (see below), whose sum is σ = 63036843632490. Its totient is φ = 5362936005120.

The previous prime is 20111010020071. The next prime is 20111010020107. The reversal of 20111010020100 is 102001011102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 719334674496 + 19391675345604 = 848136^2 + 4403598^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20111010020107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11172782445 + ... + 11172784244.

Almost surely, 2^{20111010020100} is an apocalyptic number.

20111010020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111010020100 is an abundant number, since it is smaller than the sum of its proper divisors (42925833612390).

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

20111010020100 is a wasteful number, since it uses less digits than its factorization.

20111010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22345566709 (or 22345566699 counting only the distinct ones).

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

Adding to 20111010020100 its reverse (102001011102), we get a palindrome (20213011031202).

The spelling of 20111010020100 in words is "twenty trillion, one hundred eleven billion, ten million, twenty thousand, one hundred".