201011101010100 has 54 divisors (see below), whose sum is σ = 630058128835590. Its totient is φ = 53602960269120.

The previous prime is 201011101009879. The next prime is 201011101010107. The reversal of 201011101010100 is 1010101110102.

It can be written as a sum of positive squares in 3 ways, for example, as 5430931950096 + 195580169060004 = 2330436^2 + 13984998^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011101010107) 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, 111672832995 + ... + 111672834794.

It is an arithmetic number, because the mean of its divisors is an integer number (11667743126585).

Almost surely, 2^{201011101010100} is an apocalyptic number.

201011101010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011101010100 is an abundant number, since it is smaller than the sum of its proper divisors (429047027825490).

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

201011101010100 is a wasteful number, since it uses less digits than its factorization.

201011101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223345667809 (or 223345667799 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201011101010100 its reverse (1010101110102), we get a palindrome (202021202120202).

The spelling of 201011101010100 in words is "two hundred one trillion, eleven billion, one hundred one million, ten thousand, one hundred".