102011311210000 has 200 divisors, whose sum is σ = 252911136829824. Its totient is φ = 39829206720000.

The previous prime is 102011311209971. The next prime is 102011311210007. The reversal of 102011311210000 is 12113110201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×102011311210000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102011311210007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175019055 + ... + 175600945.

Almost surely, 2^{102011311210000} is an apocalyptic number.

102011311210000 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 102011311210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126455568414912).

102011311210000 is an abundant number, since it is smaller than the sum of its proper divisors (150899825619824).

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

102011311210000 is an equidigital number, since it uses as much as digits as its factorization.

102011311210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582339 (or 582318 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102011311210000 its reverse (12113110201), we get a palindrome (102023424320201).

The spelling of 102011311210000 in words is "one hundred two trillion, eleven billion, three hundred eleven million, two hundred ten thousand".