101134212000 has 96 divisors (see below), whose sum is σ = 331315717824. Its totient is φ = 26969120000.

The previous prime is 101134211993. The next prime is 101134212007. The reversal of 101134212000 is 212431101.

It is an interprime number because it is at equal distance from previous prime (101134211993) and next prime (101134212007).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101134212007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4201926 + ... + 4225925.

It is an arithmetic number, because the mean of its divisors is an integer number (3451205394).

Almost surely, 2^101134212000 is an apocalyptic number.

101134212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101134212000 is an abundant number, since it is smaller than the sum of its proper divisors (230181505824).

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

101134212000 is an equidigital number, since it uses as much as digits as its factorization.

101134212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427879 (or 8427861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101134212000 its reverse (212431101), we get a palindrome (101346643101).

The spelling of 101134212000 in words is "one hundred one billion, one hundred thirty-four million, two hundred twelve thousand".