10122121222002 has 12 divisors (see below), whose sum is σ = 21931262647710. Its totient is φ = 3374040407328.

The previous prime is 10122121221991. The next prime is 10122121222013. The reversal of 10122121222002 is 20022212122101.

It is a happy number.

10122121222002 is a `hidden beast` number, since 10 + 1 + 221 + 212 + 220 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10122121221991) and next prime (10122121222013).

It can be written as a sum of positive squares in only one way, i.e., 9782813807001 + 339307415001 = 3127749^2 + 582501^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 562340067889 = 10122121222002 / (1 + 0 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281170033927 + ... + 281170033962.

Almost surely, 2^{10122121222002} is an apocalyptic number.

10122121222002 is an abundant number, since it is smaller than the sum of its proper divisors (11809141425708).

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

10122121222002 is a wasteful number, since it uses less digits than its factorization.

10122121222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562340067897 (or 562340067894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122121222002 its reverse (20022212122101), we get a palindrome (30144333344103).

Subtracting 10122121222002 from its reverse (20022212122101), we obtain a palindrome (9900090900099).

The spelling of 10122121222002 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, two".