101242020000 has 480 divisors, whose sum is σ = 364502121984. Its totient is φ = 24393600000.

The previous prime is 101242019987. The next prime is 101242020041. The reversal of 101242020000 is 20242101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×101242020000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139259637 + ... + 139260363.

Almost surely, 2^101242020000 is an apocalyptic number.

101242020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101242020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182251060992).

101242020000 is an abundant number, since it is smaller than the sum of its proper divisors (263260101984).

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

101242020000 is a wasteful number, since it uses less digits than its factorization.

101242020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101242020000 its reverse (20242101), we get a palindrome (101262262101).

The spelling of 101242020000 in words is "one hundred one billion, two hundred forty-two million, twenty thousand".