21101002001010 has 32 divisors (see below), whose sum is σ = 56269338670080. Its totient is φ = 5626933866864.

The previous prime is 21101002001003. The next prime is 21101002001017. The reversal of 21101002001010 is 1010020010112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21101002001003) and next prime (21101002001017).

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

It is a junction number, because it is equal to n+sod(n) for n = 21101002000983 and 21101002001001.

It is not an unprimeable number, because it can be changed into a prime (21101002001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39075929362 + ... + 39075929901.

It is an arithmetic number, because the mean of its divisors is an integer number (1758416833440).

Almost surely, 2^{21101002001010} is an apocalyptic number.

21101002001010 is an abundant number, since it is smaller than the sum of its proper divisors (35168336669070).

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

21101002001010 is a wasteful number, since it uses less digits than its factorization.

21101002001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78151859279 (or 78151859273 counting only the distinct ones).

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

Adding to 21101002001010 its reverse (1010020010112), we get a palindrome (22111022011122).

The spelling of 21101002001010 in words is "twenty-one trillion, one hundred one billion, two million, one thousand, ten".