10111012100202 has 128 divisors (see below), whose sum is σ = 22108884860160. Its totient is φ = 3064000296960.

The previous prime is 10111012100197. The next prime is 10111012100207. The reversal of 10111012100202 is 20200121011101.

It is an interprime number because it is at equal distance from previous prime (10111012100197) and next prime (10111012100207).

It is not an unprimeable number, because it can be changed into a prime (10111012100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3954246708 + ... + 3954249264.

It is an arithmetic number, because the mean of its divisors is an integer number (172725662970).

Almost surely, 2^{10111012100202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111012100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054442430080).

10111012100202 is an abundant number, since it is smaller than the sum of its proper divisors (11997872759958).

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

10111012100202 is a wasteful number, since it uses less digits than its factorization.

10111012100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111012100202 its reverse (20200121011101), we get a palindrome (30311133111303).

The spelling of 10111012100202 in words is "ten trillion, one hundred eleven billion, twelve million, one hundred thousand, two hundred two".