102101211212 has 288 divisors, whose sum is σ = 251353912320. Its totient is φ = 35655137280.

The previous prime is 102101211203. The next prime is 102101211283. The reversal of 102101211212 is 212112101201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235799348 + ... + 235799780.

It is an arithmetic number, because the mean of its divisors is an integer number (872756640).

Almost surely, 2^102101211212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125676956160).

102101211212 is an abundant number, since it is smaller than the sum of its proper divisors (149252701108).

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

102101211212 is a wasteful number, since it uses less digits than its factorization.

102101211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101211212 its reverse (212112101201), we get a palindrome (314213312413).

It can be divided in two parts, 102101 and 211212, that added together give a palindrome (313313).

The spelling of 102101211212 in words is "one hundred two billion, one hundred one million, two hundred eleven thousand, two hundred twelve".