2132010102312 has 48 divisors (see below), whose sum is σ = 5883141094740. Its totient is φ = 697261164288.

The previous prime is 2132010102311. The next prime is 2132010102331.

2132010102312 is a `hidden beast` number, since 21 + 320 + 1 + 0 + 10 + 2 + 312 = 666.

2132010102312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2090933352036 + 41076750276 = 1446006^2 + 202674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2132010102311) 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, 279347613 + ... + 279355244.

Almost surely, 2^{2132010102312} is an apocalyptic number.

It is an amenable number.

2132010102312 is an abundant number, since it is smaller than the sum of its proper divisors (3751130992428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132010102312 is a wasteful number, since it uses less digits than its factorization.

2132010102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558702922 (or 558702915 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2132010 and 102312, that added together give a palindrome (2234322).

The spelling of 2132010102312 in words is "two trillion, one hundred thirty-two billion, ten million, one hundred two thousand, three hundred twelve".