101211201201000 has 256 divisors, whose sum is σ = 347896889982720. Its totient is φ = 24293116800000.

The previous prime is 101211201200929. The next prime is 101211201201037. The reversal of 101211201201000 is 102102112101.

It is a super-3 number, since 3×101211201201000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11850199 + ... + 18516198.

It is an arithmetic number, because the mean of its divisors is an integer number (1358972226495).

Almost surely, 2^{101211201201000} is an apocalyptic number.

101211201201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211201201000 is an abundant number, since it is smaller than the sum of its proper divisors (246685688781720).

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

101211201201000 is a wasteful number, since it uses less digits than its factorization.

101211201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30366533 (or 30366519 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211201201000 its reverse (102102112101), we get a palindrome (101313303313101).

The spelling of 101211201201000 in words is "one hundred one trillion, two hundred eleven billion, two hundred one million, two hundred one thousand".