102212001101001 has 32 divisors (see below), whose sum is σ = 150145946597376. Its totient is φ = 61332539480000.

The previous prime is 102212001100973. The next prime is 102212001101029. The reversal of 102212001101001 is 100101100212201.

It is an interprime number because it is at equal distance from previous prime (102212001100973) and next prime (102212001101029).

It is a cyclic number.

It is not a de Polignac number, because 102212001101001 - 2⁷ = 102212001100873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212001101201) 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, 349455520 + ... + 349747886.

It is an arithmetic number, because the mean of its divisors is an integer number (4692060831168).

Almost surely, 2^{102212001101001} is an apocalyptic number.

102212001101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212001101001 is a deficient number, since it is larger than the sum of its proper divisors (47933945496375).

102212001101001 is a wasteful number, since it uses less digits than its factorization.

102212001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397373.

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

Adding to 102212001101001 its reverse (100101100212201), we get a palindrome (202313101313202).

The spelling of 102212001101001 in words is "one hundred two trillion, two hundred twelve billion, one million, one hundred one thousand, one".