102212331101001 has 12 divisors (see below), whose sum is σ = 161061855068400. Its totient is φ = 61946867333880.

The previous prime is 102212331100981. The next prime is 102212331101011. The reversal of 102212331101001 is 100101133212201.

102212331101001 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 331 + 10 + 100 + 1 = 666.

It is not a de Polignac number, because 102212331101001 - 2²¹ = 102212329003849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212331101011) 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, 516223894351 + ... + 516223894548.

It is an arithmetic number, because the mean of its divisors is an integer number (13421821255700).

Almost surely, 2^{102212331101001} is an apocalyptic number.

102212331101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212331101001 is a deficient number, since it is larger than the sum of its proper divisors (58849523967399).

102212331101001 is a wasteful number, since it uses less digits than its factorization.

102212331101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032447788916 (or 1032447788913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102212331101001 its reverse (100101133212201), we get a palindrome (202313464313202).

The spelling of 102212331101001 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirty-one million, one hundred one thousand, one".