2102012101 has 32 divisors (see below), whose sum is σ = 2484857088. Its totient is φ = 1741286400.

The previous prime is 2102012093. The next prime is 2102012117. The reversal of 2102012101 is 1012102012.

It is not a de Polignac number, because 2102012101 - 2³ = 2102012093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012401) 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, 6630795 + ... + 6631111.

It is an arithmetic number, because the mean of its divisors is an integer number (77651784).

Almost surely, 2^2102012101 is an apocalyptic number.

It is an amenable number.

2102012101 is a deficient number, since it is larger than the sum of its proper divisors (382844987).

2102012101 is a wasteful number, since it uses less digits than its factorization.

2102012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2102012101 is about 45847.7055151073. The cubic root of 2102012101 is about 1280.9880272290.

Adding to 2102012101 its reverse (1012102012), we get a palindrome (3114114113).

It can be divided in two parts, 2102012 and 101, that multiplied together give a palindrome (212303212).

The spelling of 2102012101 in words is "two billion, one hundred two million, twelve thousand, one hundred one".