101321212134312 has 40 divisors (see below), whose sum is σ = 283793209915050. Its totient is φ = 33773737377888.

The previous prime is 101321212134299. The next prime is 101321212134353. The reversal of 101321212134312 is 213431212123101.

101321212134312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 1 + 212 + 13 + 431 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68243691428676 + 33077520705636 = 8260974^2 + 5751306^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78179946987 + ... + 78179948282.

Almost surely, 2^{101321212134312} is an apocalyptic number.

101321212134312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101321212134312 is an abundant number, since it is smaller than the sum of its proper divisors (182471997780738).

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

101321212134312 is a wasteful number, since it uses less digits than its factorization.

101321212134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156359895287 (or 156359895274 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101321212134312 its reverse (213431212123101), we get a palindrome (314752424257413).

The spelling of 101321212134312 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twelve million, one hundred thirty-four thousand, three hundred twelve".