102102210001 has 16 divisors (see below), whose sum is σ = 117964703808. Its totient is φ = 87339097600.

The previous prime is 102102209971. The next prime is 102102210017. The reversal of 102102210001 is 100012201201.

It is a cyclic number.

It is not a de Polignac number, because 102102210001 - 2²⁹ = 101565339089 is a prime.

It is a super-2 number, since 2×102102210001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102102210001.

It is not an unprimeable number, because it can be changed into a prime (102102210031) 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, 737181 + ... + 864661.

It is an arithmetic number, because the mean of its divisors is an integer number (7372793988).

Almost surely, 2^102102210001 is an apocalyptic number.

102102210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102210001 is a deficient number, since it is larger than the sum of its proper divisors (15862493807).

102102210001 is a wasteful number, since it uses less digits than its factorization.

102102210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131792.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102102210001 its reverse (100012201201), we get a palindrome (202114411202).

The spelling of 102102210001 in words is "one hundred two billion, one hundred two million, two hundred ten thousand, one".