101021121200202 has 96 divisors (see below), whose sum is σ = 243150532603200. Its totient is φ = 27865905403392.

The previous prime is 101021121200201. The next prime is 101021121200203. The reversal of 101021121200202 is 202002121120101.

It is an interprime number because it is at equal distance from previous prime (101021121200201) and next prime (101021121200203).

It is not an unprimeable number, because it can be changed into a prime (101021121200201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121019874 + ... + 121851762.

It is an arithmetic number, because the mean of its divisors is an integer number (2532818047950).

Almost surely, 2^{101021121200202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021121200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121575266301600).

101021121200202 is an abundant number, since it is smaller than the sum of its proper divisors (142129411402998).

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

101021121200202 is a wasteful number, since it uses less digits than its factorization.

101021121200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846180 (or 846173 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101021121200202 its reverse (202002121120101), we get a palindrome (303023242320303).

The spelling of 101021121200202 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-one million, two hundred thousand, two hundred two".