201101102102010 has 128 divisors (see below), whose sum is σ = 527363848053504. Its totient is φ = 48673621544960.

The previous prime is 201101102101993. The next prime is 201101102102051. The reversal of 201101102102010 is 10201201101102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761808004 + ... + 762071936.

It is an arithmetic number, because the mean of its divisors is an integer number (4120030062918).

Almost surely, 2^{201101102102010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101102102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263681924026752).

201101102102010 is an abundant number, since it is smaller than the sum of its proper divisors (326262745951494).

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

201101102102010 is a wasteful number, since it uses less digits than its factorization.

201101102102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267648.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201101102102010 its reverse (10201201101102), we get a palindrome (211302303203112).

The spelling of 201101102102010 in words is "two hundred one trillion, one hundred one billion, one hundred two million, one hundred two thousand, ten".