2100101120211 has 64 divisors (see below), whose sum is σ = 2976619954176. Its totient is φ = 1314369302400.

The previous prime is 2100101120167. The next prime is 2100101120251. The reversal of 2100101120211 is 1120211010012.

It is not a de Polignac number, because 2100101120211 - 2⁷ = 2100101120083 is a prime.

It is a super-2 number, since 2×2100101120211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100101120251) 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, 994836046 + ... + 994838156.

It is an arithmetic number, because the mean of its divisors is an integer number (46509686784).

Almost surely, 2^{2100101120211} is an apocalyptic number.

2100101120211 is a deficient number, since it is larger than the sum of its proper divisors (876518833965).

2100101120211 is a wasteful number, since it uses less digits than its factorization.

2100101120211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432.

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

Adding to 2100101120211 its reverse (1120211010012), we get a palindrome (3220312130223).

The spelling of 2100101120211 in words is "two trillion, one hundred billion, one hundred one million, one hundred twenty thousand, two hundred eleven".