102021211112000 has 112 divisors (see below), whose sum is σ = 252689961604080. Its totient is φ = 40802923008000.

The previous prime is 102021211111979. The next prime is 102021211112017. The reversal of 102021211112000 is 211112120201.

It can be written as a sum of positive squares in 8 ways, for example, as 768834356224 + 101252376755776 = 876832^2 + 10062424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58086710 + ... + 59817290.

It is an arithmetic number, because the mean of its divisors is an integer number (2256160371465).

Almost surely, 2^{102021211112000} is an apocalyptic number.

102021211112000 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 102021211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126344980802040).

102021211112000 is an abundant number, since it is smaller than the sum of its proper divisors (150668750492080).

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

102021211112000 is an equidigital number, since it uses as much as digits as its factorization.

102021211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737977 (or 1737957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102021211112000 its reverse (211112120201), we get a palindrome (102232323232201).

The spelling of 102021211112000 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred twelve thousand".