202102101102 has 128 divisors (see below), whose sum is σ = 466804850688. Its totient is φ = 57734864000.

The previous prime is 202102101073. The next prime is 202102101121. The reversal of 202102101102 is 201101201202.

It is a super-2 number, since 2×202102101102² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 34800283 + ... + 34806089.

It is an arithmetic number, because the mean of its divisors is an integer number (3646912896).

Almost surely, 2^202102101102 is an apocalyptic number.

202102101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233402425344).

202102101102 is an abundant number, since it is smaller than the sum of its proper divisors (264702749586).

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

202102101102 is a wasteful number, since it uses less digits than its factorization.

202102101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174.

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

Adding to 202102101102 its reverse (201101201202), we get a palindrome (403203302304).

The spelling of 202102101102 in words is "two hundred two billion, one hundred two million, one hundred one thousand, one hundred two".