114240211101020 has 96 divisors (see below), whose sum is σ = 248281846880256. Its totient is φ = 44123631104000.

The previous prime is 114240211100993. The next prime is 114240211101113. The reversal of 114240211101020 is 20101112042411.

It is a super-2 number, since 2×114240211101020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114240211100983 and 114240211101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222280664 + ... + 222794016.

It is an arithmetic number, because the mean of its divisors is an integer number (2586269238336).

Almost surely, 2^{114240211101020} is an apocalyptic number.

114240211101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114240211101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124140923440128).

114240211101020 is an abundant number, since it is smaller than the sum of its proper divisors (134041635779236).

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

114240211101020 is a wasteful number, since it uses less digits than its factorization.

114240211101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516191 (or 516189 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 114240211101020 its reverse (20101112042411), we get a palindrome (134341323143431).

The spelling of 114240211101020 in words is "one hundred fourteen trillion, two hundred forty billion, two hundred eleven million, one hundred one thousand, twenty".