102111001120000 has 360 divisors, whose sum is σ = 256163215187880. Its totient is φ = 40609873920000.

The previous prime is 102111001119997. The next prime is 102111001120021. The reversal of 102111001120000 is 21100111201.

It can be written as a sum of positive squares in 20 ways, for example, as 86474227919104 + 15636773200896 = 9299152^2 + 3954336^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32843678446 + ... + 32843681554.

It is an arithmetic number, because the mean of its divisors is an integer number (711564486633).

Almost surely, 2^{102111001120000} is an apocalyptic number.

102111001120000 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 102111001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128081607593940).

102111001120000 is an abundant number, since it is smaller than the sum of its proper divisors (154052214067880).

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

102111001120000 is an frugal number, since it uses more digits than its factorization.

102111001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102111001120000 its reverse (21100111201), we get a palindrome (102132101231201).

The spelling of 102111001120000 in words is "one hundred two trillion, one hundred eleven billion, one million, one hundred twenty thousand".