2101003000032 has 48 divisors (see below), whose sum is σ = 5515220687760. Its totient is φ = 700323182592.

The previous prime is 2101003000027. The next prime is 2101003000087. The reversal of 2101003000032 is 2300003001012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2101003000032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101002999981 and 2101003000017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7757394 + ... + 8023662.

It is an arithmetic number, because the mean of its divisors is an integer number (114900430995).

Almost surely, 2^{2101003000032} is an apocalyptic number.

It is an amenable number.

2101003000032 is an abundant number, since it is smaller than the sum of its proper divisors (3414217687728).

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

2101003000032 is a wasteful number, since it uses less digits than its factorization.

2101003000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348475 (or 348467 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2101003000032 its reverse (2300003001012), we get a palindrome (4401006001044).

The spelling of 2101003000032 in words is "two trillion, one hundred one billion, three million, thirty-two", and thus it is an aban number.