102120121221001 has 16 divisors (see below), whose sum is σ = 110193584699520. Its totient is φ = 94077990040320.

The previous prime is 102120121220981. The next prime is 102120121221011. The reversal of 102120121221001 is 100122121021201.

It is not a de Polignac number, because 102120121221001 - 2¹⁷ = 102120121089929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102120121221011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9918561 + ... + 17395921.

It is an arithmetic number, because the mean of its divisors is an integer number (6887099043720).

Almost surely, 2^{102120121221001} is an apocalyptic number.

It is an amenable number.

102120121221001 is a deficient number, since it is larger than the sum of its proper divisors (8073463478519).

102120121221001 is a wasteful number, since it uses less digits than its factorization.

102120121221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7479456.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102120121221001 its reverse (100122121021201), we get a palindrome (202242242242202).

It can be divided in two parts, 102120 and 121221001, that added together give a palindrome (121323121).

The spelling of 102120121221001 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, one".