102210012022001 has 8 divisors (see below), whose sum is σ = 116547163029864. Its totient is φ = 88797838498560.

The previous prime is 102210012021973. The next prime is 102210012022009. The reversal of 102210012022001 is 100220210012201.

It can be written as a sum of positive squares in 4 ways, for example, as 5144186886400 + 97065825135601 = 2268080^2 + 9852199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102210012022001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102210012022009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231244370870 + ... + 231244371311.

It is an arithmetic number, because the mean of its divisors is an integer number (14568395378733).

Almost surely, 2^{102210012022001} is an apocalyptic number.

It is an amenable number.

102210012022001 is a deficient number, since it is larger than the sum of its proper divisors (14337151007863).

102210012022001 is a wasteful number, since it uses less digits than its factorization.

102210012022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462488742211.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210012022001 its reverse (100220210012201), we get a palindrome (202430222034202).

The spelling of 102210012022001 in words is "one hundred two trillion, two hundred ten billion, twelve million, twenty-two thousand, one".