2100010201101 has 12 divisors (see below), whose sum is σ = 3084760748160. Its totient is φ = 1376277871560.

The previous prime is 2100010201087. The next prime is 2100010201139. The reversal of 2100010201101 is 1011020100012.

It is a happy number.

It is not a de Polignac number, because 2100010201101 - 2²² = 2100006006797 is a prime.

It is a super-2 number, since 2×2100010201101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100010201171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1977410205 + ... + 1977411266.

It is an arithmetic number, because the mean of its divisors is an integer number (257063395680).

Almost surely, 2^{2100010201101} is an apocalyptic number.

It is an amenable number.

2100010201101 is a deficient number, since it is larger than the sum of its proper divisors (984750547059).

2100010201101 is a wasteful number, since it uses less digits than its factorization.

2100010201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954821536 (or 3954821533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100010201101 its reverse (1011020100012), we get a palindrome (3111030301113).

The spelling of 2100010201101 in words is "two trillion, one hundred billion, ten million, two hundred one thousand, one hundred one".