102201102111020 has 288 divisors, whose sum is σ = 249501330195264. Its totient is φ = 34859653171200.

The previous prime is 102201102111013. The next prime is 102201102111127. The reversal of 102201102111020 is 20111201102201.

It is a junction number, because it is equal to n+sod(n) for n = 102201102110986 and 102201102111004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18880673834 + ... + 18880679246.

It is an arithmetic number, because the mean of its divisors is an integer number (866324063178).

Almost surely, 2^{102201102111020} is an apocalyptic number.

102201102111020 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 102201102111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750665097632).

102201102111020 is an abundant number, since it is smaller than the sum of its proper divisors (147300228084244).

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

102201102111020 is a wasteful number, since it uses less digits than its factorization.

102201102111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8568 counting only the distinct ones).

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

Adding to 102201102111020 its reverse (20111201102201), we get a palindrome (122312303213221).

The spelling of 102201102111020 in words is "one hundred two trillion, two hundred one billion, one hundred two million, one hundred eleven thousand, twenty".