101020002021310 has 32 divisors (see below), whose sum is σ = 184918868352000. Its totient is φ = 39722926417440.

The previous prime is 101020002021277. The next prime is 101020002021317. The reversal of 101020002021310 is 13120200020101.

101020002021310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101020002021310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020002021317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219958015 + ... + 220416805.

It is an arithmetic number, because the mean of its divisors is an integer number (5778714636000).

Almost surely, 2^{101020002021310} is an apocalyptic number.

101020002021310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101020002021310 is a deficient number, since it is larger than the sum of its proper divisors (83898866330690).

101020002021310 is a wasteful number, since it uses less digits than its factorization.

101020002021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832056.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101020002021310 its reverse (13120200020101), we get a palindrome (114140202041411).

The spelling of 101020002021310 in words is "one hundred one trillion, twenty billion, two million, twenty-one thousand, three hundred ten".