102101021022001 has 16 divisors (see below), whose sum is σ = 102650069704000. Its totient is φ = 101552602132800.

The previous prime is 102101021021929. The next prime is 102101021022043. The reversal of 102101021022001 is 100220120101201.

It is a cyclic number.

It is not a de Polignac number, because 102101021022001 - 2¹⁷ = 102101020890929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101021052001) 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, 4259343946 + ... + 4259367916.

It is an arithmetic number, because the mean of its divisors is an integer number (6415629356500).

Almost surely, 2^{102101021022001} is an apocalyptic number.

It is an amenable number.

102101021022001 is a deficient number, since it is larger than the sum of its proper divisors (549048681999).

102101021022001 is a wasteful number, since it uses less digits than its factorization.

102101021022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36160.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101021022001 its reverse (100220120101201), we get a palindrome (202321141123202).

The spelling of 102101021022001 in words is "one hundred two trillion, one hundred one billion, twenty-one million, twenty-two thousand, one".