2101101210201 has 32 divisors (see below), whose sum is σ = 3334015180800. Its totient is φ = 1151551195200.

The previous prime is 2101101210181. The next prime is 2101101210209. The reversal of 2101101210201 is 1020121011012.

It is not a de Polignac number, because 2101101210201 - 2⁶ = 2101101210137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101101210209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11332161 + ... + 11516078.

It is an arithmetic number, because the mean of its divisors is an integer number (104187974400).

Almost surely, 2^{2101101210201} is an apocalyptic number.

2101101210201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101101210201 is a deficient number, since it is larger than the sum of its proper divisors (1232913970599).

2101101210201 is a wasteful number, since it uses less digits than its factorization.

2101101210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22848429.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101101210201 its reverse (1020121011012), we get a palindrome (3121222221213).

It can be divided in two parts, 21011012 and 10201, that multiplied together give a palindrome (214333333412).

The spelling of 2101101210201 in words is "two trillion, one hundred one billion, one hundred one million, two hundred ten thousand, two hundred one".