101022121211 has 8 divisors (see below), whose sum is σ = 110615641200. Its totient is φ = 91496883040.

The previous prime is 101022121201. The next prime is 101022121219. The reversal of 101022121211 is 112121220101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101022121211 - 2⁶ = 101022121147 is a prime.

It is a super-2 number, since 2×101022121211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022121219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17067356 + ... + 17073273.

It is an arithmetic number, because the mean of its divisors is an integer number (13826955150).

Almost surely, 2^101022121211 is an apocalyptic number.

101022121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101022121211 is a deficient number, since it is larger than the sum of its proper divisors (9593519989).

101022121211 is a wasteful number, since it uses less digits than its factorization.

101022121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34140909.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022121211 its reverse (112121220101), we get a palindrome (213143341312).

The spelling of 101022121211 in words is "one hundred one billion, twenty-two million, one hundred twenty-one thousand, two hundred eleven".