20111002101102 has 64 divisors (see below), whose sum is σ = 43914598011648. Its totient is φ = 6089237952000.

The previous prime is 20111002101041. The next prime is 20111002101109. The reversal of 20111002101102 is 20110120011102.

It is a super-2 number, since 2×20111002101102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111002101109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646204102 + ... + 646235222.

It is an arithmetic number, because the mean of its divisors is an integer number (686165593932).

Almost surely, 2^{20111002101102} is an apocalyptic number.

20111002101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20111002101102 is an abundant number, since it is smaller than the sum of its proper divisors (23803595910546).

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

20111002101102 is a wasteful number, since it uses less digits than its factorization.

20111002101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38865.

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

Adding to 20111002101102 its reverse (20110120011102), we get a palindrome (40221122112204).

Subtracting from 20111002101102 its reverse (20110120011102), we obtain a square (882090000 = 29700²).

The spelling of 20111002101102 in words is "twenty trillion, one hundred eleven billion, two million, one hundred one thousand, one hundred two".