101021210122221 has 32 divisors (see below), whose sum is σ = 150664418365440. Its totient is φ = 66896031006000.

The previous prime is 101021210122211. The next prime is 101021210122321. The reversal of 101021210122221 is 122221012120101.

101021210122221 is a `hidden beast` number, since 10 + 102 + 1 + 210 + 122 + 221 = 666.

It is not a de Polignac number, because 101021210122221 - 2⁹ = 101021210121709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021210122194 and 101021210122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021210122211) 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, 49518256 + ... + 51517958.

It is an arithmetic number, because the mean of its divisors is an integer number (4708263073920).

Almost surely, 2^{101021210122221} is an apocalyptic number.

It is an amenable number.

101021210122221 is a deficient number, since it is larger than the sum of its proper divisors (49643208243219).

101021210122221 is a wasteful number, since it uses less digits than its factorization.

101021210122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012254 (or 2012248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101021210122221 its reverse (122221012120101), we get a palindrome (223242222242322).

The spelling of 101021210122221 in words is "one hundred one trillion, twenty-one billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty-one".