101012121001020 has 24 divisors (see below), whose sum is σ = 282833938803024. Its totient is φ = 26936565600256.

The previous prime is 101012121001019. The next prime is 101012121001027. The reversal of 101012121001020 is 20100121210101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101012121000987 and 101012121001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012121001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841767674949 + ... + 841767675068.

It is an arithmetic number, because the mean of its divisors is an integer number (11784747450126).

Almost surely, 2^{101012121001020} is an apocalyptic number.

101012121001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012121001020 is an abundant number, since it is smaller than the sum of its proper divisors (181821817802004).

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

101012121001020 is a wasteful number, since it uses less digits than its factorization.

101012121001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683535350029 (or 1683535350027 counting only the distinct ones).

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

Adding to 101012121001020 its reverse (20100121210101), we get a palindrome (121112242211121).

The spelling of 101012121001020 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, one thousand, twenty".