101211011122221 has 144 divisors (see below), whose sum is σ = 205192984808448. Its totient is φ = 47221055481600.

The previous prime is 101211011122171. The next prime is 101211011122267. The reversal of 101211011122221 is 122221110112101.

It is a happy number.

101211011122221 is a `hidden beast` number, since 101 + 211 + 0 + 11 + 122 + 221 = 666.

It is not a de Polignac number, because 101211011122221 - 2⁷ = 101211011122093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211011122194 and 101211011122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211011122621) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19354765 + ... + 24021426.

It is an arithmetic number, because the mean of its divisors is an integer number (1424951283392).

Almost surely, 2^{101211011122221} is an apocalyptic number.

101211011122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211011122221 is an abundant number, since it is smaller than the sum of its proper divisors (103981973686227).

101211011122221 is a wasteful number, since it uses less digits than its factorization.

101211011122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43376272 (or 43376262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211011122221 its reverse (122221110112101), we get a palindrome (223432121234322).

The spelling of 101211011122221 in words is "one hundred one trillion, two hundred eleven billion, eleven million, one hundred twenty-two thousand, two hundred twenty-one".