10212200101110 has 128 divisors (see below), whose sum is σ = 28452163451904. Its totient is φ = 2297551011840.

The previous prime is 10212200101087. The next prime is 10212200101123. The reversal of 10212200101110 is 1110100221201.

It is a super-2 number, since 2×10212200101110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6848662 + ... + 8205398.

It is an arithmetic number, because the mean of its divisors is an integer number (222282526968).

Almost surely, 2^{10212200101110} is an apocalyptic number.

10212200101110 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 10212200101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226081725952).

10212200101110 is an abundant number, since it is smaller than the sum of its proper divisors (18239963350794).

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

10212200101110 is a wasteful number, since it uses less digits than its factorization.

10212200101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357318.

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

Adding to 10212200101110 its reverse (1110100221201), we get a palindrome (11322300322311).

The spelling of 10212200101110 in words is "ten trillion, two hundred twelve billion, two hundred million, one hundred one thousand, one hundred ten".