101021201002064 has 80 divisors (see below), whose sum is σ = 223763038963200. Its totient is φ = 43280628529152.

The previous prime is 101021201002063. The next prime is 101021201002219. The reversal of 101021201002064 is 460200102120101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021201002063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6569622344 + ... + 6569637720.

It is an arithmetic number, because the mean of its divisors is an integer number (2797037987040).

Almost surely, 2^{101021201002064} is an apocalyptic number.

101021201002064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101021201002064 is an abundant number, since it is smaller than the sum of its proper divisors (122741837961136).

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

101021201002064 is a wasteful number, since it uses less digits than its factorization.

101021201002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30780 (or 30774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101021201002064 its reverse (460200102120101), we get a palindrome (561221303122165).

The spelling of 101021201002064 in words is "one hundred one trillion, twenty-one billion, two hundred one million, two thousand, sixty-four".