2211010100100 has 108 divisors (see below), whose sum is σ = 7061048634276. Its totient is φ = 578478101760.

The previous prime is 2211010100063. The next prime is 2211010100111. The reversal of 2211010100100 is 10010101122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 252644959044 + 1958365141056 = 502638^2 + 1399416^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23128507 + ... + 23223906.

It is an arithmetic number, because the mean of its divisors is an integer number (65380079947).

Almost surely, 2^{2211010100100} is an apocalyptic number.

2211010100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211010100100 is an abundant number, since it is smaller than the sum of its proper divisors (4850038534176).

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

2211010100100 is a wasteful number, since it uses less digits than its factorization.

2211010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46352486 (or 46352476 counting only the distinct ones).

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

Adding to 2211010100100 its reverse (10010101122), we get a palindrome (2221020201222).

The spelling of 2211010100100 in words is "two trillion, two hundred eleven billion, ten million, one hundred thousand, one hundred".