2100022200101 has 64 divisors (see below), whose sum is σ = 2615277611520. Its totient is φ = 1645157744640.

The previous prime is 2100022200079. The next prime is 2100022200103. The reversal of 2100022200101 is 1010022200012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2100022200101 - 2³⁴ = 2082842330917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100022200103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1202072510 + ... + 1202074256.

It is an arithmetic number, because the mean of its divisors is an integer number (40863712680).

Almost surely, 2^{2100022200101} is an apocalyptic number.

It is an amenable number.

2100022200101 is a deficient number, since it is larger than the sum of its proper divisors (515255411419).

2100022200101 is a wasteful number, since it uses less digits than its factorization.

2100022200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100022200101 its reverse (1010022200012), we get a palindrome (3110044400113).

The spelling of 2100022200101 in words is "two trillion, one hundred billion, twenty-two million, two hundred thousand, one hundred one".