122121012001020 has 24 divisors (see below), whose sum is σ = 341938833603024. Its totient is φ = 32565603200256.

The previous prime is 122121012000983. The next prime is 122121012001031. The reversal of 122121012001020 is 20100210121221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017675099949 + ... + 1017675100068.

It is an arithmetic number, because the mean of its divisors is an integer number (14247451400126).

Almost surely, 2^{122121012001020} is an apocalyptic number.

122121012001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121012001020 is an abundant number, since it is smaller than the sum of its proper divisors (219817821602004).

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

122121012001020 is a wasteful number, since it uses less digits than its factorization.

122121012001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035350200029 (or 2035350200027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122121012001020 its reverse (20100210121221), we get a palindrome (142221222122241).

The spelling of 122121012001020 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twelve million, one thousand, twenty".