101121000201012 has 48 divisors (see below), whose sum is σ = 257400251136000. Its totient is φ = 30642567627360.

The previous prime is 101121000200933. The next prime is 101121000201029. The reversal of 101121000201012 is 210102000121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24781789 + ... + 28572347.

It is an arithmetic number, because the mean of its divisors is an integer number (5362505232000).

Almost surely, 2^{101121000201012} is an apocalyptic number.

101121000201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121000201012 is an abundant number, since it is smaller than the sum of its proper divisors (156279250934988).

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

101121000201012 is a wasteful number, since it uses less digits than its factorization.

101121000201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992676 (or 3992674 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121000201012 its reverse (210102000121101), we get a palindrome (311223000322113).

The spelling of 101121000201012 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one thousand, twelve".