102011200211201 has 8 divisors (see below), whose sum is σ = 108021002733864. Its totient is φ = 96002413653760.

The previous prime is 102011200211197. The next prime is 102011200211257. The reversal of 102011200211201 is 102112002110201.

It can be written as a sum of positive squares in 4 ways, for example, as 14910417682801 + 87100782528400 = 3861401^2 + 9332780^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102011200211201 - 2² = 102011200211197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102011200211281) 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, 253784570 + ... + 254186211.

It is an arithmetic number, because the mean of its divisors is an integer number (13502625341733).

Almost surely, 2^{102011200211201} is an apocalyptic number.

It is an amenable number.

102011200211201 is a deficient number, since it is larger than the sum of its proper divisors (6009802522663).

102011200211201 is a wasteful number, since it uses less digits than its factorization.

102011200211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507982611.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102011200211201 its reverse (102112002110201), we get a palindrome (204123202321402).

The spelling of 102011200211201 in words is "one hundred two trillion, eleven billion, two hundred million, two hundred eleven thousand, two hundred one".