1020102211110 has 32 divisors (see below), whose sum is σ = 2514414101472. Its totient is φ = 264675168000.

The previous prime is 1020102211069. The next prime is 1020102211151. The reversal of 1020102211110 is 111122010201.

1020102211110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020102211069) and next prime (1020102211151).

It is a super-4 number, since 4×1020102211110⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459504391 + ... + 459506610.

It is an arithmetic number, because the mean of its divisors is an integer number (78575440671).

Almost surely, 2^{1020102211110} is an apocalyptic number.

1020102211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020102211110 is an abundant number, since it is smaller than the sum of its proper divisors (1494311890362).

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

1020102211110 is a wasteful number, since it uses less digits than its factorization.

1020102211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919011048.

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

Adding to 1020102211110 its reverse (111122010201), we get a palindrome (1131224221311).

The spelling of 1020102211110 in words is "one trillion, twenty billion, one hundred two million, two hundred eleven thousand, one hundred ten".