101021000111010 has 96 divisors (see below), whose sum is σ = 313371265691520. Its totient is φ = 23090514308064.

The previous prime is 101021000110999. The next prime is 101021000111039. The reversal of 101021000111010 is 10111000120101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101021000110983 and 101021000111001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3817862814 + ... + 3817889273.

It is an arithmetic number, because the mean of its divisors is an integer number (3264284017620).

Almost surely, 2^{101021000111010} is an apocalyptic number.

101021000111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101021000111010 is an abundant number, since it is smaller than the sum of its proper divisors (212350265580510).

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

101021000111010 is a wasteful number, since it uses less digits than its factorization.

101021000111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635752117 (or 7635752104 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101021000111010 its reverse (10111000120101), we get a palindrome (111132000231111).

Subtracting from 101021000111010 its reverse (10111000120101), we obtain a palindrome (90909999990909).

The spelling of 101021000111010 in words is "one hundred one trillion, twenty-one billion, one hundred eleven thousand, ten".