102011210121220 has 24 divisors (see below), whose sum is σ = 217735402589208. Its totient is φ = 40135558080000.

The previous prime is 102011210121179. The next prime is 102011210121251. The reversal of 102011210121220 is 22121012110201.

It can be written as a sum of positive squares in 4 ways, for example, as 4528920271876 + 97482289849344 = 2128126^2 + 9873312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102011210121194 and 102011210121203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41807871781 + ... + 41807874220.

It is an arithmetic number, because the mean of its divisors is an integer number (9072308441217).

Almost surely, 2^{102011210121220} is an apocalyptic number.

102011210121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011210121220 is an abundant number, since it is smaller than the sum of its proper divisors (115724192467988).

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

102011210121220 is a wasteful number, since it uses less digits than its factorization.

102011210121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83615746071 (or 83615746069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102011210121220 its reverse (22121012110201), we get a palindrome (124132222231421).

The spelling of 102011210121220 in words is "one hundred two trillion, eleven billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".