102212011100001 has 32 divisors (see below), whose sum is σ = 158046333050880. Its totient is φ = 58105269432000.

The previous prime is 102212011099931. The next prime is 102212011100029. The reversal of 102212011100001 is 100001110212201.

It is not a de Polignac number, because 102212011100001 - 2⁹ = 102212011099489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102212011100001.

It is not an unprimeable number, because it can be changed into a prime (102212011100701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806954305 + ... + 807080958.

It is an arithmetic number, because the mean of its divisors is an integer number (4938947907840).

Almost surely, 2^{102212011100001} is an apocalyptic number.

102212011100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212011100001 is a deficient number, since it is larger than the sum of its proper divisors (55834321950879).

102212011100001 is a wasteful number, since it uses less digits than its factorization.

102212011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614035397.

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

Adding to 102212011100001 its reverse (100001110212201), we get a palindrome (202213121312202).

It can be divided in two parts, 1022120 and 11100001, that added together give a palindrome (12122121).

The spelling of 102212011100001 in words is "one hundred two trillion, two hundred twelve billion, eleven million, one hundred thousand, one".