102120221001 has 64 divisors (see below), whose sum is σ = 145027392768. Its totient is φ = 63841333248.

The previous prime is 102120220931. The next prime is 102120221009. The reversal of 102120221001 is 100122021201.

It is not a de Polignac number, because 102120221001 - 2²⁶ = 102053112137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102120221009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74376751 + ... + 74378123.

It is an arithmetic number, because the mean of its divisors is an integer number (2266053012).

Almost surely, 2^102120221001 is an apocalyptic number.

It is an amenable number.

102120221001 is a deficient number, since it is larger than the sum of its proper divisors (42907171767).

102120221001 is a wasteful number, since it uses less digits than its factorization.

102120221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120221001 its reverse (100122021201), we get a palindrome (202242242202).

The spelling of 102120221001 in words is "one hundred two billion, one hundred twenty million, two hundred twenty-one thousand, one".