102101102011220 has 48 divisors (see below), whose sum is σ = 230923988592528. Its totient is φ = 37695861181440.

The previous prime is 102101102011157. The next prime is 102101102011241. The reversal of 102101102011220 is 22110201101201.

It can be written as a sum of positive squares in 8 ways, for example, as 10410250626064 + 91690851385156 = 3226492^2 + 9575534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101102011195 and 102101102011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12395849 + ... + 18917168.

It is an arithmetic number, because the mean of its divisors is an integer number (4810916429011).

Almost surely, 2^{102101102011220} is an apocalyptic number.

102101102011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101102011220 is an abundant number, since it is smaller than the sum of its proper divisors (128822886581308).

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

102101102011220 is a wasteful number, since it uses less digits than its factorization.

102101102011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31325580 (or 31325578 counting only the distinct ones).

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

Adding to 102101102011220 its reverse (22110201101201), we get a palindrome (124211303112421).

The spelling of 102101102011220 in words is "one hundred two trillion, one hundred one billion, one hundred two million, eleven thousand, two hundred twenty".