1022032101114 has 128 divisors (see below), whose sum is σ = 2360075477760. Its totient is φ = 327626208000.

The previous prime is 1022032101113. The next prime is 1022032101127. The reversal of 1022032101114 is 4111012302201.

1022032101114 is a `hidden beast` number, since 10 + 220 + 321 + 0 + 1 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1022032101113) 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, 42436444 + ... + 42460520.

It is an arithmetic number, because the mean of its divisors is an integer number (18438089670).

Almost surely, 2^{1022032101114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022032101114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180037738880).

1022032101114 is an abundant number, since it is smaller than the sum of its proper divisors (1338043376646).

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

1022032101114 is a wasteful number, since it uses less digits than its factorization.

1022032101114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24413 (or 24407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1022032101114 its reverse (4111012302201), we get a palindrome (5133044403315).

The spelling of 1022032101114 in words is "one trillion, twenty-two billion, thirty-two million, one hundred one thousand, one hundred fourteen".