102101202022212 has 144 divisors (see below), whose sum is σ = 267956607679488. Its totient is φ = 32761730327040.

The previous prime is 102101202022151. The next prime is 102101202022213. The reversal of 102101202022212 is 212220202101201.

It is a happy number.

102101202022212 is a `hidden beast` number, since 10 + 210 + 1 + 20 + 202 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102101202022213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24684283 + ... + 28522205.

It is an arithmetic number, because the mean of its divisors is an integer number (1860809775552).

Almost surely, 2^{102101202022212} is an apocalyptic number.

102101202022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101202022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133978303839744).

102101202022212 is an abundant number, since it is smaller than the sum of its proper divisors (165855405657276).

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

102101202022212 is a wasteful number, since it uses less digits than its factorization.

102101202022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838250 (or 3838245 counting only the distinct ones).

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

Adding to 102101202022212 its reverse (212220202101201), we get a palindrome (314321404123413).

The spelling of 102101202022212 in words is "one hundred two trillion, one hundred one billion, two hundred two million, twenty-two thousand, two hundred twelve".