102122021211093 has 48 divisors (see below), whose sum is σ = 159365204369280. Its totient is φ = 62643211747200.

The previous prime is 102122021211071. The next prime is 102122021211101. The reversal of 102122021211093 is 390112120221201.

102122021211093 is a `hidden beast` number, since 10 + 21 + 220 + 212 + 110 + 93 = 666.

It is not a de Polignac number, because 102122021211093 - 2⁵ = 102122021211061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122021211193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100765023 + ... + 101773443.

It is an arithmetic number, because the mean of its divisors is an integer number (3320108424360).

Almost surely, 2^{102122021211093} is an apocalyptic number.

102122021211093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102122021211093 is a deficient number, since it is larger than the sum of its proper divisors (57243183158187).

102122021211093 is a wasteful number, since it uses less digits than its factorization.

102122021211093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011210 (or 1011207 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 102122021211093 its reverse (390112120221201), we get a palindrome (492234141432294).

The spelling of 102122021211093 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-one million, two hundred eleven thousand, ninety-three".