101000220112110 has 192 divisors, whose sum is σ = 272061675014976. Its totient is φ = 23973209948160.

The previous prime is 101000220112079. The next prime is 101000220112147. The reversal of 101000220112110 is 11211022000101.

It is a super-3 number, since 3×101000220112110³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34912582 + ... + 37694678.

It is an arithmetic number, because the mean of its divisors is an integer number (1416987890703).

Almost surely, 2^{101000220112110} is an apocalyptic number.

101000220112110 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 101000220112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136030837507488).

101000220112110 is an abundant number, since it is smaller than the sum of its proper divisors (171061454902866).

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

101000220112110 is a wasteful number, since it uses less digits than its factorization.

101000220112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782339 (or 2782328 counting only the distinct ones).

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

Adding to 101000220112110 its reverse (11211022000101), we get a palindrome (112211242112211).

It can be divided in two parts, 1010002 and 20112110, that added together give a palindrome (21122112).

The spelling of 101000220112110 in words is "one hundred one trillion, two hundred twenty million, one hundred twelve thousand, one hundred ten".