102102212002021 has 24 divisors (see below), whose sum is σ = 128410293211200. Its totient is φ = 79467328966080.

The previous prime is 102102212001973. The next prime is 102102212002033. The reversal of 102102212002021 is 120200212201201.

It is a happy number.

It is not a de Polignac number, because 102102212002021 - 2⁷ = 102102212001893 is a prime.

It is a super-2 number, since 2×102102212002021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102212001986 and 102102212002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102212902021) 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, 69604171 + ... + 71055928.

It is an arithmetic number, because the mean of its divisors is an integer number (5350428883800).

Almost surely, 2^{102102212002021} is an apocalyptic number.

102102212002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102212002021 is a deficient number, since it is larger than the sum of its proper divisors (26308081209179).

102102212002021 is a wasteful number, since it uses less digits than its factorization.

102102212002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140660985 (or 140660974 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102102212002021 its reverse (120200212201201), we get a palindrome (222302424203222).

The spelling of 102102212002021 in words is "one hundred two trillion, one hundred two billion, two hundred twelve million, two thousand, twenty-one".