10002142166220 has 120 divisors (see below), whose sum is σ = 31536366002064. Its totient is φ = 2653698547584.

The previous prime is 10002142166201. The next prime is 10002142166239. The reversal of 10002142166220 is 2266124120001.

10002142166220 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 14 + 21 + 6 + 622 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10002142166201) and next prime (10002142166239).

It is a super-2 number, since 2×10002142166220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15351322 + ... + 15989601.

Almost surely, 2^{10002142166220} is an apocalyptic number.

10002142166220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002142166220 is an abundant number, since it is smaller than the sum of its proper divisors (21534223835844).

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

10002142166220 is a wasteful number, since it uses less digits than its factorization.

10002142166220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31341141 (or 31341130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10002142166220 its reverse (2266124120001), we get a palindrome (12268266286221).

The spelling of 10002142166220 in words is "ten trillion, two billion, one hundred forty-two million, one hundred sixty-six thousand, two hundred twenty".