2010102122100 has 144 divisors (see below), whose sum is σ = 6159917490048. Its totient is φ = 504339701760.

The previous prime is 2010102122099. The next prime is 2010102122101. The reversal of 2010102122100 is 12212010102.

It is an interprime number because it is at equal distance from previous prime (2010102122099) and next prime (2010102122101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010102122101) 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, 16836817 + ... + 16955783.

It is an arithmetic number, because the mean of its divisors is an integer number (42777204792).

Almost surely, 2^{2010102122100} is an apocalyptic number.

2010102122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010102122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079958745024).

2010102122100 is an abundant number, since it is smaller than the sum of its proper divisors (4149815367948).

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

2010102122100 is a wasteful number, since it uses less digits than its factorization.

2010102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122314 (or 122307 counting only the distinct ones).

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

Adding to 2010102122100 its reverse (12212010102), we get a palindrome (2022314132202).

The spelling of 2010102122100 in words is "two trillion, ten billion, one hundred two million, one hundred twenty-two thousand, one hundred".