102121220021220 has 36 divisors (see below), whose sum is σ = 309767700731580. Its totient is φ = 27232325338944.

The previous prime is 102121220021167. The next prime is 102121220021273. The reversal of 102121220021220 is 22120022121201.

It is a happy number.

102121220021220 is a `hidden beast` number, since 1 + 0 + 21 + 212 + 200 + 212 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (102121220021167) and next prime (102121220021273).

It can be written as a sum of positive squares in 2 ways, for example, as 75620798624484 + 26500421396736 = 8696022^2 + 5147856^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102121220021193 and 102121220021202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283670055435 + ... + 283670055794.

It is an arithmetic number, because the mean of its divisors is an integer number (8604658353655).

Almost surely, 2^{102121220021220} is an apocalyptic number.

102121220021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121220021220 is an abundant number, since it is smaller than the sum of its proper divisors (207646480710360).

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

102121220021220 is a wasteful number, since it uses less digits than its factorization.

102121220021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567340111244 (or 567340111239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102121220021220 its reverse (22120022121201), we get a palindrome (124241242142421).

The spelling of 102121220021220 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty million, twenty-one thousand, two hundred twenty".