101220001210212 has 96 divisors (see below), whose sum is σ = 252072256396800. Its totient is φ = 31519326673152.

The previous prime is 101220001210169. The next prime is 101220001210291. The reversal of 101220001210212 is 212012100022101.

It is a super-2 number, since 2×101220001210212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101220001210191 and 101220001210200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74339839 + ... + 75689177.

It is an arithmetic number, because the mean of its divisors is an integer number (2625752670800).

Almost surely, 2^{101220001210212} is an apocalyptic number.

101220001210212 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 101220001210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126036128198400).

101220001210212 is an abundant number, since it is smaller than the sum of its proper divisors (150852255186588).

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

101220001210212 is a wasteful number, since it uses less digits than its factorization.

101220001210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353945 (or 1353943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101220001210212 its reverse (212012100022101), we get a palindrome (313232101232313).

The spelling of 101220001210212 in words is "one hundred one trillion, two hundred twenty billion, one million, two hundred ten thousand, two hundred twelve".