100102020122000 has 160 divisors (see below), whose sum is σ = 260923049543520. Its totient is φ = 36924249753600.

The previous prime is 100102020121969. The next prime is 100102020122053. The reversal of 100102020122000 is 221020201001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 86346021569536 + 13755998552464 = 9292256^2 + 3708908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24437666 + ... + 28238334.

It is an arithmetic number, because the mean of its divisors is an integer number (1630769059647).

Almost surely, 2^{100102020122000} is an apocalyptic number.

100102020122000 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 100102020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130461524771760).

100102020122000 is an abundant number, since it is smaller than the sum of its proper divisors (160821029421520).

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

100102020122000 is a wasteful number, since it uses less digits than its factorization.

100102020122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801718 (or 3801702 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100102020122000 its reverse (221020201001), we get a palindrome (100323040323001).

The spelling of 100102020122000 in words is "one hundred trillion, one hundred two billion, twenty million, one hundred twenty-two thousand".