102200001211110 has 128 divisors (see below), whose sum is σ = 270532205503488. Its totient is φ = 24502790720000.

The previous prime is 102200001211067. The next prime is 102200001211117. The reversal of 102200001211110 is 11112100002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200001211117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27835240 + ... + 31292180.

It is an arithmetic number, because the mean of its divisors is an integer number (2113532855496).

Almost surely, 2^{102200001211110} is an apocalyptic number.

102200001211110 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 102200001211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135266102751744).

102200001211110 is an abundant number, since it is smaller than the sum of its proper divisors (168332204292378).

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

102200001211110 is a wasteful number, since it uses less digits than its factorization.

102200001211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457950.

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

Adding to 102200001211110 its reverse (11112100002201), we get a palindrome (113312101213311).

The spelling of 102200001211110 in words is "one hundred two trillion, two hundred billion, one million, two hundred eleven thousand, one hundred ten".