102002212000 has 96 divisors (see below), whose sum is σ = 269897990544. Its totient is φ = 37662336000.

The previous prime is 102002211977. The next prime is 102002212001. The reversal of 102002212000 is 212200201.

It can be written as a sum of positive squares in 8 ways, for example, as 2850278544 + 99151933456 = 53388^2 + 314884^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102002212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928791 + ... + 1032790.

Almost surely, 2^102002212000 is an apocalyptic number.

102002212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002212000 is an abundant number, since it is smaller than the sum of its proper divisors (167895778544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102002212000 is a wasteful number, since it uses less digits than its factorization.

102002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961619 (or 1961601 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102002212000 its reverse (212200201), we get a palindrome (102214412201).

The spelling of 102002212000 in words is "one hundred two billion, two million, two hundred twelve thousand".