101201011021110 has 1536 divisors, whose sum is σ = 345084597043200. Its totient is φ = 18464553676800.

The previous prime is 101201011021069. The next prime is 101201011021153. The reversal of 101201011021110 is 11120110102101.

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 120620990071 + ... + 120620990909.

It is an arithmetic number, because the mean of its divisors is an integer number (224664451200).

Almost surely, 2^{101201011021110} is an apocalyptic number.

101201011021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201011021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172542298521600).

101201011021110 is an abundant number, since it is smaller than the sum of its proper divisors (243883586022090).

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

101201011021110 is a wasteful number, since it uses less digits than its factorization.

101201011021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101201011021110 its reverse (11120110102101), we get a palindrome (112321121123211).

The spelling of 101201011021110 in words is "one hundred one trillion, two hundred one billion, eleven million, twenty-one thousand, one hundred ten".