102122201100000 has 1152 divisors, whose sum is σ = 372750292454400. Its totient is φ = 24347586560000.

The previous prime is 102122201099923. The next prime is 102122201100041. The reversal of 102122201100000 is 1102221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17477697079 + ... + 17477702921.

It is an arithmetic number, because the mean of its divisors is an integer number (323567962200).

Almost surely, 2^{102122201100000} is an apocalyptic number.

102122201100000 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 102122201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186375146227200).

102122201100000 is an abundant number, since it is smaller than the sum of its proper divisors (270628091354400).

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

102122201100000 is a wasteful number, since it uses less digits than its factorization.

102122201100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102122201100000 its reverse (1102221201), we get a palindrome (102123303321201).

It can be divided in two parts, 102122201 and 100000, that added together give a palindrome (102222201).

The spelling of 102122201100000 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred one million, one hundred thousand".