102121211201220 has 144 divisors (see below), whose sum is σ = 328005880897968. Its totient is φ = 25629126082560.

The previous prime is 102121211201161. The next prime is 102121211201239. The reversal of 102121211201220 is 22102112121201.

102121211201220 is a `hidden beast` number, since 1 + 0 + 21 + 212 + 11 + 201 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11377182968064 + 90744028233156 = 3373008^2 + 9525966^2 .

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 = 102121211201193 and 102121211201202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60430812 + ... + 62097708.

It is an arithmetic number, because the mean of its divisors is an integer number (2277818617347).

Almost surely, 2^{102121211201220} is an apocalyptic number.

102121211201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121211201220 is an abundant number, since it is smaller than the sum of its proper divisors (225884669696748).

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

102121211201220 is a wasteful number, since it uses less digits than its factorization.

102121211201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686950 (or 1686945 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121211201220 its reverse (22102112121201), we get a palindrome (124223323322421).

The spelling of 102121211201220 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred eleven million, two hundred one thousand, two hundred twenty".