101034102012221 has 24 divisors (see below), whose sum is σ = 119022792174720. Its totient is φ = 85500416356992.

The previous prime is 101034102012191. The next prime is 101034102012247. The reversal of 101034102012221 is 122210201430101.

It is not a de Polignac number, because 101034102012221 - 2¹⁴ = 101034101995837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101034102012193 and 101034102012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101034102012821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82958741 + ... + 84167813.

It is an arithmetic number, because the mean of its divisors is an integer number (4959283007280).

Almost surely, 2^{101034102012221} is an apocalyptic number.

It is an amenable number.

101034102012221 is a deficient number, since it is larger than the sum of its proper divisors (17988690162499).

101034102012221 is a wasteful number, since it uses less digits than its factorization.

101034102012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230753 (or 1230746 counting only the distinct ones).

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

Adding to 101034102012221 its reverse (122210201430101), we get a palindrome (223244303442322).

The spelling of 101034102012221 in words is "one hundred one trillion, thirty-four billion, one hundred two million, twelve thousand, two hundred twenty-one".