2102022112032 has 60 divisors (see below), whose sum is σ = 6181988649606. Its totient is φ = 700674036480.

The previous prime is 2102022112031. The next prime is 2102022112037. The reversal of 2102022112032 is 2302112202012.

It can be written as a sum of positive squares in only one way, i.e., 1402718084496 + 699304027536 = 1184364^2 + 836244^2 .

It is a super-3 number, since 3×2102022112032³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2102022111996 and 2102022112014.

It is not an unprimeable number, because it can be changed into a prime (2102022112031) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 405480069 + ... + 405485252.

Almost surely, 2^{2102022112032} is an apocalyptic number.

It is an amenable number.

2102022112032 is an abundant number, since it is smaller than the sum of its proper divisors (4079966537574).

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

2102022112032 is an equidigital number, since it uses as much as digits as its factorization.

2102022112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810965343 (or 810965326 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102022112032 its reverse (2302112202012), we get a palindrome (4404134314044).

The spelling of 2102022112032 in words is "two trillion, one hundred two billion, twenty-two million, one hundred twelve thousand, thirty-two".