102220202021121 has 48 divisors (see below), whose sum is σ = 154911714607104. Its totient is φ = 64876104012672.

The previous prime is 102220202021101. The next prime is 102220202021141. The reversal of 102220202021121 is 121120202022201.

It is a happy number.

102220202021121 is a `hidden beast` number, since 10 + 2 + 220 + 202 + 0 + 211 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (102220202021101) and next prime (102220202021141).

It is not a de Polignac number, because 102220202021121 - 2¹⁴ = 102220202004737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102220202021094 and 102220202021103.

It is not an unprimeable number, because it can be changed into a prime (102220202021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55166115 + ... + 56988951.

It is an arithmetic number, because the mean of its divisors is an integer number (3227327387648).

Almost surely, 2^{102220202021121} is an apocalyptic number.

It is an amenable number.

102220202021121 is a deficient number, since it is larger than the sum of its proper divisors (52691512585983).

102220202021121 is a wasteful number, since it uses less digits than its factorization.

102220202021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826510 (or 1826507 counting only the distinct ones).

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

Adding to 102220202021121 its reverse (121120202022201), we get a palindrome (223340404043322).

The spelling of 102220202021121 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, twenty-one thousand, one hundred twenty-one".