10122010100202 has 384 divisors, whose sum is σ = 28437532800768. Its totient is φ = 2359300608000.

The previous prime is 10122010100183. The next prime is 10122010100233. The reversal of 10122010100202 is 20200101022101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2801550948 + ... + 2801554560.

It is an arithmetic number, because the mean of its divisors is an integer number (74056075002).

Almost surely, 2^{10122010100202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122010100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218766400384).

10122010100202 is an abundant number, since it is smaller than the sum of its proper divisors (18315522700566).

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

10122010100202 is a wasteful number, since it uses less digits than its factorization.

10122010100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122010100202 its reverse (20200101022101), we get a palindrome (30322111122303).

The spelling of 10122010100202 in words is "ten trillion, one hundred twenty-two billion, ten million, one hundred thousand, two hundred two".