102211002022101 has 64 divisors (see below), whose sum is σ = 168811411046400. Its totient is φ = 53676203028480.

The previous prime is 102211002022091. The next prime is 102211002022117. The reversal of 102211002022101 is 101220200112201.

It is not a de Polignac number, because 102211002022101 - 2⁶ = 102211002022037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211002024101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164925 + ... + 14298573.

It is an arithmetic number, because the mean of its divisors is an integer number (2637678297600).

Almost surely, 2^{102211002022101} is an apocalyptic number.

It is an amenable number.

102211002022101 is a deficient number, since it is larger than the sum of its proper divisors (66600409024299).

102211002022101 is a wasteful number, since it uses less digits than its factorization.

102211002022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134154.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102211002022101 its reverse (101220200112201), we get a palindrome (203431202134302).

The spelling of 102211002022101 in words is "one hundred two trillion, two hundred eleven billion, two million, twenty-two thousand, one hundred one".