100122002011010 has 48 divisors (see below), whose sum is σ = 210015581003136. Its totient is φ = 34266570905952.

The previous prime is 100122002011007. The next prime is 100122002011013. The reversal of 100122002011010 is 10110200221001.

It is an interprime number because it is at equal distance from previous prime (100122002011007) and next prime (100122002011013).

It is a super-2 number, since 2×100122002011010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122002010982 and 100122002011000.

It is not an unprimeable number, because it can be changed into a prime (100122002011013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181190042 + ... + 181741781.

It is an arithmetic number, because the mean of its divisors is an integer number (4375324604232).

Almost surely, 2^{100122002011010} is an apocalyptic number.

100122002011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122002011010 is an abundant number, since it is smaller than the sum of its proper divisors (109893578992126).

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

100122002011010 is a wasteful number, since it uses less digits than its factorization.

100122002011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362932407 (or 362932400 counting only the distinct ones).

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

Adding to 100122002011010 its reverse (10110200221001), we get a palindrome (110232202232011).

The spelling of 100122002011010 in words is "one hundred trillion, one hundred twenty-two billion, two million, eleven thousand, ten".