2101012011201 has 16 divisors (see below), whose sum is σ = 2823522566144. Its totient is φ = 1389588966864.

The previous prime is 2101012011193. The next prime is 2101012011251. The reversal of 2101012011201 is 1021102101012.

It is not a de Polignac number, because 2101012011201 - 2³ = 2101012011193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101012011251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10547610 + ... + 10744956.

It is an arithmetic number, because the mean of its divisors is an integer number (176470160384).

Almost surely, 2^{2101012011201} is an apocalyptic number.

It is an amenable number.

2101012011201 is a deficient number, since it is larger than the sum of its proper divisors (722510554943).

2101012011201 is a wasteful number, since it uses less digits than its factorization.

2101012011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225420.

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

Adding to 2101012011201 its reverse (1021102101012), we get a palindrome (3122114112213).

The spelling of 2101012011201 in words is "two trillion, one hundred one billion, twelve million, eleven thousand, two hundred one".