102121211101 has 24 divisors (see below), whose sum is σ = 127960401240. Its totient is φ = 80781305472.

The previous prime is 102121211099. The next prime is 102121211113. The reversal of 102121211101 is 101112121201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8417879001 + 93703332100 = 91749^2 + 306110^2 .

It is not a de Polignac number, because 102121211101 - 2¹ = 102121211099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121211501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366735 + ... + 3396931.

It is an arithmetic number, because the mean of its divisors is an integer number (5331683385).

Almost surely, 2^102121211101 is an apocalyptic number.

It is an amenable number.

102121211101 is a deficient number, since it is larger than the sum of its proper divisors (25839190139).

102121211101 is a wasteful number, since it uses less digits than its factorization.

102121211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35533 (or 35526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121211101 its reverse (101112121201), we get a palindrome (203233332302).

The spelling of 102121211101 in words is "one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred one".