101220120303100 has 72 divisors (see below), whose sum is σ = 220421103084000. Its totient is φ = 40345728134400.

The previous prime is 101220120303091. The next prime is 101220120303109. The reversal of 101220120303100 is 1303021022101.

It is an interprime number because it is at equal distance from previous prime (101220120303091) and next prime (101220120303109).

It is a super-3 number, since 3×101220120303100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220120303109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30844146 + ... + 33967654.

It is an arithmetic number, because the mean of its divisors is an integer number (3061404209500).

Almost surely, 2^{101220120303100} is an apocalyptic number.

101220120303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220120303100 is an abundant number, since it is smaller than the sum of its proper divisors (119200982780900).

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

101220120303100 is a wasteful number, since it uses less digits than its factorization.

101220120303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124663 (or 3124656 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101220120303100 its reverse (1303021022101), we get a palindrome (102523141325201).

The spelling of 101220120303100 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty million, three hundred three thousand, one hundred".