102121220201 has 96 divisors (see below), whose sum is σ = 141700285440. Its totient is φ = 71054640000.

The previous prime is 102121220161. The next prime is 102121220207. The reversal of 102121220201 is 102022121201.

It is not a de Polignac number, because 102121220201 - 2⁶ = 102121220137 is a prime.

It is a super-2 number, since 2×102121220201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121220207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406857326 + ... + 406857576.

It is an arithmetic number, because the mean of its divisors is an integer number (1476044640).

Almost surely, 2^102121220201 is an apocalyptic number.

102121220201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102121220201 is a deficient number, since it is larger than the sum of its proper divisors (39579065239).

102121220201 is a wasteful number, since it uses less digits than its factorization.

102121220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102121220201 its reverse (102022121201), we get a palindrome (204143341402).

The spelling of 102121220201 in words is "one hundred two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred one".