102221000201001 has 32 divisors (see below), whose sum is σ = 156685795752960. Its totient is φ = 58671832472000.

The previous prime is 102221000200981. The next prime is 102221000201017. The reversal of 102221000201001 is 100102000122201.

It is not a de Polignac number, because 102221000201001 - 2¹¹ = 102221000198953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102221000101001) 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, 666648711 + ... + 666802028.

It is an arithmetic number, because the mean of its divisors is an integer number (4896431117280).

Almost surely, 2^{102221000201001} is an apocalyptic number.

102221000201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221000201001 is a deficient number, since it is larger than the sum of its proper divisors (54464795551959).

102221000201001 is a wasteful number, since it uses less digits than its factorization.

102221000201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333450877.

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

Adding to 102221000201001 its reverse (100102000122201), we get a palindrome (202323000323202).

The spelling of 102221000201001 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred one thousand, one".