101210401110 has 192 divisors, whose sum is σ = 307096574400. Its totient is φ = 21157936128.

The previous prime is 101210401069. The next prime is 101210401151. The reversal of 101210401110 is 11104012101.

It is an interprime number because it is at equal distance from previous prime (101210401069) and next prime (101210401151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2058696 + ... + 2107284.

It is an arithmetic number, because the mean of its divisors is an integer number (1599461325).

Almost surely, 2^101210401110 is an apocalyptic number.

101210401110 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 101210401110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153548287200).

101210401110 is an abundant number, since it is smaller than the sum of its proper divisors (205886173290).

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

101210401110 is a wasteful number, since it uses less digits than its factorization.

101210401110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48735 (or 48728 counting only the distinct ones).

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

Adding to 101210401110 its reverse (11104012101), we get a palindrome (112314413211).

The spelling of 101210401110 in words is "one hundred one billion, two hundred ten million, four hundred one thousand, one hundred ten".