1010102122100 has 36 divisors (see below), whose sum is σ = 2191965228684. Its totient is φ = 404032807680.

The previous prime is 1010102122097. The next prime is 1010102122121. The reversal of 1010102122100 is 12212010101.

It can be written as a sum of positive squares in 6 ways, for example, as 585295382116 + 424806739984 = 765046^2 + 651772^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9850694 + ... + 9952706.

It is an arithmetic number, because the mean of its divisors is an integer number (60887923019).

Almost surely, 2^{1010102122100} is an apocalyptic number.

1010102122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010102122100 is an abundant number, since it is smaller than the sum of its proper divisors (1181863106584).

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

1010102122100 is a wasteful number, since it uses less digits than its factorization.

1010102122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201044 (or 201037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010102122100 its reverse (12212010101), we get a palindrome (1022314132201).

The spelling of 1010102122100 in words is "one trillion, ten billion, one hundred two million, one hundred twenty-two thousand, one hundred".