102210101121012 has 48 divisors (see below), whose sum is σ = 251185165281792. Its totient is φ = 32284160333920.

The previous prime is 102210101120999. The next prime is 102210101121013. The reversal of 102210101121012 is 210121101012201.

It is a happy number.

It is a super-3 number, since 3×102210101121012³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210101120982 and 102210101121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210101121013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730467914 + ... + 1730526977.

It is an arithmetic number, because the mean of its divisors is an integer number (5233024276704).

Almost surely, 2^{102210101121012} is an apocalyptic number.

102210101121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210101121012 is an abundant number, since it is smaller than the sum of its proper divisors (148975064160780).

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

102210101121012 is a wasteful number, since it uses less digits than its factorization.

102210101121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460995028 (or 3460995026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102210101121012 its reverse (210121101012201), we get a palindrome (312331202133213).

The spelling of 102210101121012 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, one hundred twenty-one thousand, twelve".