102212010110001 has 12 divisors (see below), whose sum is σ = 149798317847696. Its totient is φ = 61946672793720.

The previous prime is 102212010109927. The next prime is 102212010110051. The reversal of 102212010110001 is 100011010212201.

It is not a de Polignac number, because 102212010110001 - 2¹⁹ = 102212009585713 is a prime.

It is a super-2 number, since 2×102212010110001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212010110051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140787892351 + ... + 140787893076.

Almost surely, 2^{102212010110001} is an apocalyptic number.

102212010110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212010110001 is a deficient number, since it is larger than the sum of its proper divisors (47586307737695).

102212010110001 is a wasteful number, since it uses less digits than its factorization.

102212010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281575785452 (or 281575785441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102212010110001 its reverse (100011010212201), we get a palindrome (202223020322202).

It can be divided in two parts, 1022120 and 10110001, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 102212010110001 in words is "one hundred two trillion, two hundred twelve billion, ten million, one hundred ten thousand, one".