101411221214000 has 80 divisors (see below), whose sum is σ = 245247114418176. Its totient is φ = 40558734720000.

The previous prime is 101411221213997. The next prime is 101411221214021. The reversal of 101411221214000 is 412122114101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101411221214000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10521425 + ... + 17706575.

Almost surely, 2^{101411221214000} is an apocalyptic number.

101411221214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101411221214000 is an abundant number, since it is smaller than the sum of its proper divisors (143835893204176).

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

101411221214000 is an equidigital number, since it uses as much as digits as its factorization.

101411221214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192231 (or 7192215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101411221214000 its reverse (412122114101), we get a palindrome (101823343328101).

The spelling of 101411221214000 in words is "one hundred one trillion, four hundred eleven billion, two hundred twenty-one million, two hundred fourteen thousand".