101022221202221 has 48 divisors (see below), whose sum is σ = 115080366508800. Its totient is φ = 88552663879680.

The previous prime is 101022221202209. The next prime is 101022221202223. The reversal of 101022221202221 is 122202122220101.

It is not a de Polignac number, because 101022221202221 - 2¹⁰ = 101022221201197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022221202193 and 101022221202202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022221202223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3097969565 + ... + 3098002173.

It is an arithmetic number, because the mean of its divisors is an integer number (2397507635600).

Almost surely, 2^{101022221202221} is an apocalyptic number.

101022221202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022221202221 is a deficient number, since it is larger than the sum of its proper divisors (14058145306579).

101022221202221 is a wasteful number, since it uses less digits than its factorization.

101022221202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40290 (or 40279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101022221202221 its reverse (122202122220101), we get a palindrome (223224343422322).

The spelling of 101022221202221 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-one".