101414002212 has 96 divisors (see below), whose sum is σ = 274511650560. Its totient is φ = 32316641280.

The previous prime is 101414002201. The next prime is 101414002229. The reversal of 101414002212 is 212200414101.

101414002212 is a `hidden beast` number, since 1 + 0 + 1 + 41 + 400 + 221 + 2 = 666.

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

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, 4791012 + ... + 4812132.

It is an arithmetic number, because the mean of its divisors is an integer number (2859496360).

Almost surely, 2^101414002212 is an apocalyptic number.

101414002212 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 101414002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137255825280).

101414002212 is an abundant number, since it is smaller than the sum of its proper divisors (173097648348).

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

101414002212 is a wasteful number, since it uses less digits than its factorization.

101414002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23090 (or 23082 counting only the distinct ones).

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

Adding to 101414002212 its reverse (212200414101), we get a palindrome (313614416313).

The spelling of 101414002212 in words is "one hundred one billion, four hundred fourteen million, two thousand, two hundred twelve".