101102010111102 has 192 divisors, whose sum is σ = 276499341345024. Its totient is φ = 24226156200960.

The previous prime is 101102010111077. The next prime is 101102010111121. The reversal of 101102010111102 is 201111010201101.

It is a congruent number.

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, 71740518 + ... + 73136214.

It is an arithmetic number, because the mean of its divisors is an integer number (1440100736172).

Almost surely, 2^{101102010111102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102010111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138249670672512).

101102010111102 is an abundant number, since it is smaller than the sum of its proper divisors (175397331233922).

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

101102010111102 is a wasteful number, since it uses less digits than its factorization.

101102010111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397463 (or 1397456 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101102010111102 its reverse (201111010201101), we get a palindrome (302213020312203).

The spelling of 101102010111102 in words is "one hundred one trillion, one hundred two billion, ten million, one hundred eleven thousand, one hundred two".