102100011212121 has 48 divisors (see below), whose sum is σ = 148695770393856. Its totient is φ = 61947223400448.

The previous prime is 102100011212119. The next prime is 102100011212123. The reversal of 102100011212121 is 121212110001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102100011212119) and next prime (102100011212123).

It is not a de Polignac number, because 102100011212121 - 2¹ = 102100011212119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102100011212121.

It is not an unprimeable number, because it can be changed into a prime (102100011212123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572069520 + ... + 572247966.

It is an arithmetic number, because the mean of its divisors is an integer number (3097828549872).

Almost surely, 2^{102100011212121} is an apocalyptic number.

It is an amenable number.

102100011212121 is a deficient number, since it is larger than the sum of its proper divisors (46595759181735).

102100011212121 is a wasteful number, since it uses less digits than its factorization.

102100011212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181362 (or 181289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102100011212121 its reverse (121212110001201), we get a palindrome (223312121213322).

The spelling of 102100011212121 in words is "one hundred two trillion, one hundred billion, eleven million, two hundred twelve thousand, one hundred twenty-one".