122000101012100 has 36 divisors (see below), whose sum is σ = 273869192278500. Its totient is φ = 47117280389760.

The previous prime is 122000101012063. The next prime is 122000101012121. The reversal of 122000101012100 is 1210101000221.

It can be written as a sum of positive squares in 6 ways, for example, as 27173638311556 + 94826462700544 = 5212834^2 + 9737888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21034497275 + ... + 21034503074.

Almost surely, 2^{122000101012100} is an apocalyptic number.

122000101012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000101012100 is an abundant number, since it is smaller than the sum of its proper divisors (151869091266400).

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

122000101012100 is a wasteful number, since it uses less digits than its factorization.

122000101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42069000392 (or 42069000385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122000101012100 its reverse (1210101000221), we get a palindrome (123210202012321).

The spelling of 122000101012100 in words is "one hundred twenty-two trillion, one hundred one million, twelve thousand, one hundred".