10102002021200 has 60 divisors (see below), whose sum is σ = 24862012575708. Its totient is φ = 3942244684800.

The previous prime is 10102002021179. The next prime is 10102002021211. The reversal of 10102002021200 is 212020020101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 103277391424 + 9998724629776 = 321368^2 + 3162076^2 .

It is a super-3 number, since 3×10102002021200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307971467 + ... + 308004266.

Almost surely, 2^{10102002021200} is an apocalyptic number.

10102002021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102002021200 is an abundant number, since it is smaller than the sum of its proper divisors (14760010554508).

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

10102002021200 is a wasteful number, since it uses less digits than its factorization.

10102002021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615975792 (or 615975781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10102002021200 its reverse (212020020101), we get a palindrome (10314022041301).

The spelling of 10102002021200 in words is "ten trillion, one hundred two billion, two million, twenty-one thousand, two hundred".