101200101012 has 36 divisors (see below), whose sum is σ = 255927686560. Its totient is φ = 33718028112.

The previous prime is 101200101007. The next prime is 101200101017. The reversal of 101200101012 is 210101002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101200101007) and next prime (101200101017).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101200100985 and 101200101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200101017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558712 + ... + 717327.

Almost surely, 2^101200101012 is an apocalyptic number.

101200101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200101012 is an abundant number, since it is smaller than the sum of its proper divisors (154727585548).

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

101200101012 is a wasteful number, since it uses less digits than its factorization.

101200101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278252 (or 1278247 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101200101012 its reverse (210101002101), we get a palindrome (311301103113).

The spelling of 101200101012 in words is "one hundred one billion, two hundred million, one hundred one thousand, twelve".