114102211520000 has 800 divisors, whose sum is σ = 317503038504960. Its totient is φ = 40604405760000.

The previous prime is 114102211519991. The next prime is 114102211520009. The reversal of 114102211520000 is 25112201411.

It is an interprime number because it is at equal distance from previous prime (114102211519991) and next prime (114102211520009).

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114102211520009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31845438209 + ... + 31845441791.

Almost surely, 2^{114102211520000} is an apocalyptic number.

114102211520000 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 114102211520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158751519252480).

114102211520000 is an abundant number, since it is smaller than the sum of its proper divisors (203400826984960).

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

114102211520000 is an equidigital number, since it uses as much as digits as its factorization.

114102211520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 114102211520000 its reverse (25112201411), we get a palindrome (114127323721411).

The spelling of 114102211520000 in words is "one hundred fourteen trillion, one hundred two billion, two hundred eleven million, five hundred twenty thousand".