102120221211201 has 48 divisors (see below), whose sum is σ = 156659141418624. Its totient is φ = 63880675702272.

The previous prime is 102120221211109. The next prime is 102120221211353. The reversal of 102120221211201 is 102112122021201.

102120221211201 is a `hidden beast` number, since 1 + 0 + 212 + 0 + 221 + 211 + 20 + 1 = 666.

It is not a de Polignac number, because 102120221211201 - 2¹⁰ = 102120221210177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102120221219201) 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, 85963860 + ... + 87143706.

It is an arithmetic number, because the mean of its divisors is an integer number (3263732112888).

Almost surely, 2^{102120221211201} is an apocalyptic number.

It is an amenable number.

102120221211201 is a deficient number, since it is larger than the sum of its proper divisors (54538920207423).

102120221211201 is a wasteful number, since it uses less digits than its factorization.

102120221211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181590 (or 1181587 counting only the distinct ones).

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

Adding to 102120221211201 its reverse (102112122021201), we get a palindrome (204232343232402).

The spelling of 102120221211201 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, two hundred one".