2010222012101 has 24 divisors (see below), whose sum is σ = 2180482272840. Its totient is φ = 1852432699392.

The previous prime is 2010222012091. The next prime is 2010222012131. The reversal of 2010222012101 is 1012102220102.

It can be written as a sum of positive squares in 12 ways, for example, as 101362003876 + 1908860008225 = 318374^2 + 1381615^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2010222012101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010222012131) 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, 2542535 + ... + 3238043.

It is an arithmetic number, because the mean of its divisors is an integer number (90853428035).

Almost surely, 2^{2010222012101} is an apocalyptic number.

It is an amenable number.

2010222012101 is a deficient number, since it is larger than the sum of its proper divisors (170260260739).

2010222012101 is a wasteful number, since it uses less digits than its factorization.

2010222012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695753 (or 695736 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2010222012101 its reverse (1012102220102), we get a palindrome (3022324232203).

The spelling of 2010222012101 in words is "two trillion, ten billion, two hundred twenty-two million, twelve thousand, one hundred one".