102201000210101 has 8 divisors (see below), whose sum is σ = 110068119847224. Its totient is φ = 94334666892480.

The previous prime is 102201000210017. The next prime is 102201000210103. The reversal of 102201000210101 is 101012000102201.

It can be written as a sum of positive squares in 4 ways, for example, as 8479219848100 + 93721780362001 = 2911910^2 + 9681001^2 .

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 102201000210101 - 2²⁶ = 102200933101237 is a prime.

It is a super-2 number, since 2×102201000210101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201000210103) 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, 196309910 + ... + 196829831.

It is an arithmetic number, because the mean of its divisors is an integer number (13758514980903).

Almost surely, 2^{102201000210101} is an apocalyptic number.

It is an amenable number.

102201000210101 is a deficient number, since it is larger than the sum of its proper divisors (7867119637123).

102201000210101 is a wasteful number, since it uses less digits than its factorization.

102201000210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393159751.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102201000210101 its reverse (101012000102201), we get a palindrome (203213000312302).

The spelling of 102201000210101 in words is "one hundred two trillion, two hundred one billion, two hundred ten thousand, one hundred one".