10121121212202 has 384 divisors, whose sum is σ = 32017827598848. Its totient is φ = 2222169292800.

The previous prime is 10121121212201. The next prime is 10121121212207. The reversal of 10121121212202 is 20221212112101.

10121121212202 is a `hidden beast` number, since 10 + 121 + 121 + 212 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10121121212201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10886802 + ... + 11779842.

It is an arithmetic number, because the mean of its divisors is an integer number (83379759372).

Almost surely, 2^{10121121212202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121121212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008913799424).

10121121212202 is an abundant number, since it is smaller than the sum of its proper divisors (21896706386646).

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

10121121212202 is a wasteful number, since it uses less digits than its factorization.

10121121212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893134 (or 893131 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10121121212202 its reverse (20221212112101), we get a palindrome (30342333324303).

The spelling of 10121121212202 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred two".