101121012 has 18 divisors (see below), whose sum is σ = 255611538. Its totient is φ = 33706992.

The previous prime is 101121011. The next prime is 101121067. The reversal of 101121012 is 210121101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 62631396 + 38489616 = 7914^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×101121012³ (a number of 25 digits) contains 333 as substring.

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 = 101120985 and 101121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1404423 + ... + 1404494.

It is an arithmetic number, because the mean of its divisors is an integer number (14200641).

Almost surely, 2^101121012 is an apocalyptic number.

101121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121012 is an abundant number, since it is smaller than the sum of its proper divisors (154490526).

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

101121012 is a wasteful number, since it uses less digits than its factorization.

101121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808927 (or 2808922 counting only the distinct ones).

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

The square root of 101121012 is about 10055.8943908536. The cubic root of 101121012 is about 465.8868679792.

Adding to 101121012 its reverse (210121101), we get a palindrome (311242113).

The spelling of 101121012 in words is "one hundred one million, one hundred twenty-one thousand, twelve".