101402332020 has 288 divisors, whose sum is σ = 357860280960. Its totient is φ = 22968852480.

The previous prime is 101402332019. The next prime is 101402332027. The reversal of 101402332020 is 20233204101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101402331984 and 101402332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101402332027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4667904 + ... + 4689576.

It is an arithmetic number, because the mean of its divisors is an integer number (1242570420).

Almost surely, 2^101402332020 is an apocalyptic number.

101402332020 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 101402332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178930140480).

101402332020 is an abundant number, since it is smaller than the sum of its proper divisors (256457948940).

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

101402332020 is a wasteful number, since it uses less digits than its factorization.

101402332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21855 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101402332020 its reverse (20233204101), we get a palindrome (121635536121).

The spelling of 101402332020 in words is "one hundred one billion, four hundred two million, three hundred thirty-two thousand, twenty".