101012021021223 has 32 divisors (see below), whose sum is σ = 162388999745280. Its totient is φ = 61686730366560.

The previous prime is 101012021021123. The next prime is 101012021021237. The reversal of 101012021021223 is 322120120210101.

101012021021223 is a `hidden beast` number, since 101 + 0 + 120 + 210 + 212 + 23 = 666.

It is not a de Polignac number, because 101012021021223 - 2¹⁸ = 101012020759079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012021021196 and 101012021021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012021021123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098364461 + ... + 1098456422.

It is an arithmetic number, because the mean of its divisors is an integer number (5074656242040).

Almost surely, 2^{101012021021223} is an apocalyptic number.

101012021021223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101012021021223 is a deficient number, since it is larger than the sum of its proper divisors (61376978724057).

101012021021223 is a wasteful number, since it uses less digits than its factorization.

101012021021223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196821036 (or 2196821030 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101012021021223 its reverse (322120120210101), we get a palindrome (423132141231324).

The spelling of 101012021021223 in words is "one hundred one trillion, twelve billion, twenty-one million, twenty-one thousand, two hundred twenty-three".