101023121310 has 64 divisors (see below), whose sum is σ = 249322957632. Its totient is φ = 26178287616.

The previous prime is 101023121291. The next prime is 101023121321. The reversal of 101023121310 is 13121320101.

It is a happy number.

It is a super-3 number, since 3×101023121310³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101023121310.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 827574 + ... + 941766.

It is an arithmetic number, because the mean of its divisors is an integer number (3895671213).

Almost surely, 2^101023121310 is an apocalyptic number.

101023121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124661478816).

101023121310 is an abundant number, since it is smaller than the sum of its proper divisors (148299836322).

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

101023121310 is a wasteful number, since it uses less digits than its factorization.

101023121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115037.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101023121310 its reverse (13121320101), we get a palindrome (114144441411).

The spelling of 101023121310 in words is "one hundred one billion, twenty-three million, one hundred twenty-one thousand, three hundred ten".